Maths-
General
Easy
Question
In the given figure, if
and
then the values of x and y respectively are
![](data:image/png;base64,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)
The correct answer is: ![37 to the power of 0 end exponent comma 53 to the power of 0 end exponent](data:image/png;base64,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)
Related Questions to study
maths-
In the given figure, if lines PQ and RS intersect at point T, such that
and ![text end text angle T S Q equals 75 to the power of ring operator end exponent comma text then end text angle S Q T](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMYAAAASCAYAAAAANKFkAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAPUJuPDwAAA8NJREFUeNrtWk9kHFEYH2vVqig5VKyqXKpyqAq1VuS0lxVRESFiVVWUqqoeqlQPq3oIq4eqHEpVxIpaqqqqolRU1IrSQ1RUlRyqqnpZEWutFabfk982r2ven5k3L7uZnR+/w+y8efPe937f977vzTpOjG6gRNwFS7E5YsTYd4QqMQ1+jJ2jPzARm0CKOhyijTR2jhgR1tAisUJMEFtEV8IW2jEkiQ+Iv4hN4ieJcfLEd8QG2rKIm7MwF1dBnXbdcgw3AhpyLGjDry6NcYK4SvxOHPa4f5a4KXn+DXEaA0oR54kvBGnIa2IGbRmniH+I44e0cLPEZwYi7EylqgapVC1CjiHSkE1tqHRphNPEr8Q14qCgzQzxueBeriNCiHCL+FTSx8YhLN4QolDKUIQl7Bx1w/rCjYhjiDRkWxsyXRphHB65pNh+2FZ4R3DvEgyiMtyW4h07xGOWF5BFr9EeEaEsbWtfT0IULK1Yhx07USD+RJvlDqfn+2I75bair7A1ZFsbMl0GxmUYSafjl9jWRBNrYHtMC9osEG8q3vHeQ7Q6tYKusK8Tiz0WnWU7xlWkJiP4bR6C5pElfsMaMGFdIz7y6Is5xUMuxfHqy4aGbGtDpstAKGHAup1uSybmYNBrSC2KHt6/JahdePwgHrckwGEUfUmBCFsooJkQbxMHesAxOlOEduHJ4xV2DB6/PfrKafRlS0M2taHSpTYGUOAw413QfCaJSemgAGNVOXEl8JvqHTsWBbiucfKVhE2KiMIjXXaMlEb7OuomHruW65ggGrKhDT+6lOIUKvgvPr1sjPjBp+FWuLQl6aiPM1kRVdbMxf2mUrPYCfwgH1KqEXbx7WraxpZjBNWQDW341aUnsiiQVgOkCQUUdX5zzyXuuqEorqqCHNIUCUT/IH03j4Bj1DTSz7Acw0RDNrQRRJf/YQ6L/Djg84soBP2ARYWL3HUZBZ8X7qEwtIHpgJH/HPJX2xB9jNIV87LG2oThGKYasqGNILr8hyIMcMNgIqzAmxTce4LBt/Nx9pHnPk4LeLD77EjxClcAn4eRFiwKryIxOj+/Mefgo9IEnGImhHe7cE4RNj2KZz9iPoOx5rlDhnLIjhFUQ7a1IdOl1sLo8q2gn5qgEGxH1hVEExb9NiRenEVO2ARNHVYHbOsf1KhB2NfaPcyVHS1mQnJKlWPkMEaTuiCDdGMPJzxTITqGiYZsa0OmyyONOZxsfIbBTkZwjpWgUa3P0Q/aUJ5S3HX2/06Qj9jcRhHBk7HOY23EOAA72hyKzdAd/AUjWICs+SWMywAAAQ50RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXRleHQ+JiN4QTA7PC9tdGV4dD48bWk+JiN4MjIyMDs8L21pPjxtaT5UPC9taT48bWk+UzwvbWk+PG1pPlE8L21pPjxtbz49PC9tbz48bXN1cD48bW4+NzU8L21uPjxtbz4mI3gyMjE4OzwvbW8+PC9tc3VwPjxtbz4sPC9tbz48bXRleHQ+JiN4QTA7dGhlbiYjeEEwOzwvbXRleHQ+PG1pPiYjeDIyMjA7PC9taT48bWk+UzwvbWk+PG1pPlE8L21pPjxtaT5UPC9taT48L21hdGg+vBNtVAAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
In the given figure, if lines PQ and RS intersect at point T, such that
and ![text end text angle T S Q equals 75 to the power of ring operator end exponent comma text then end text angle S Q T](data:image/png;base64,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)
![](data:image/png;base64,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)
maths-General
maths-
In the given figure, if
and
, then DCE is
![](data:image/png;base64,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)
In the given figure, if
and
, then DCE is
![](data:image/png;base64,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)
maths-General
maths-
In the given
If YO and ZO are the bisectors of ÐXYZ and ÐXZY respectively, then ÐOZY and ÐYOZ are
![](data:image/png;base64,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)
In the given
If YO and ZO are the bisectors of ÐXYZ and ÐXZY respectively, then ÐOZY and ÐYOZ are
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOQAAADBCAYAAADfNhwIAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAC3uSURBVHhe7Z2HV1Xbsub7D+jRd/Trvn37vX73vnvuSWZUVMw555z1mHPOOaOIAcEAIiAYSCJIkGQEJElUEBVEJQmSc4avV5XLI0EFZAM7zJ9jDmCuDcLeu9asWbPqq/8GgUCgNAiDFAiUCGGQAoESIQxSoDgqcpEeF4mIkAi8SMhBYUUVqoo/IuFFBJ69eIfUgir5gYJvIQxSoCCqgZJ4RDqexL4Va7DT8B6eZxUj/+VtXD1+EEeNPfA0pVx+rOBbCIMUKI6qMhRnBcFRbzt2bTOEQ+Q7xHhdxtUbLnCOyEFRuWS0gu8iDFKgYMqR+9oNTmc2Yd3WY9A3doF/bDbyxOLYKIRBClqA94i9vR5zh47A5L0PEJkhTwsaRBikQMFUouBDBEJuG8Do2HZs2GKIm0+SkSXiOY1CGKRAQVSjujQPWQmPcMfCAlft/fEyMRwPT63Aln0XYOKTiqyiCvmxgm8hDFKgIMpRmeQPt5PrsXn3OZiHl6KqOgfZfiewfc50zFxvAtfoLPmxgm8hDFKgIKpQXZiGxOchiHjxFsnFNFcNFCXidWggAkNeIjG7lB8p+DbCIAUCJUIYpKBFePc2Hl4e7oiNfY3ycnHm0ViEQQoUTl5eHnSPHEL7X37Cgb27kZr6Qb4iaAhhkAKF8+D+PQwfMhB/+7e/YOqEcYiOei5fETSEMEiBQnkruaqb169jY/yPv/4bhg8egLDQEPmqoCGEQQoUBrmqRw8dxJAB/bBo/lwefXtp447jbfkRgoYQBilQCKVlZbC0MIeOdjesWbkcMS+i4e3pgV7dtbBv105kZWbKjxR8D2GQgmZTUVEBL09PDJVWxqmTJyDgiR/PJ7x/h0njx2DCmFHw9XnMc4LvIwxS0GyCgwIxffIkdlVdnO+gsrKS5/Nyc3H08EH07NYFF88b8Zzg+wiDFDSL169eYu2q5eglGZ2F2RUUFRXJV4AqyTAp4jqgdy+sWbEcGemi7KMhhEEKfhjaFx4+sA89tTrjyMH9X90nZmRkYO7M6Rg5ZBAePXggzwq+hTBIwQ9RVlYGM1MT9OuljZVLF/N+8VvoHT8mraBa0NM9Js8IvoUwSEGTqaqqgrenJ4YNGoBpE8cjKDBAvvJ1fB4/xAhphZw9fSoyM4Xb+j2EQQqaTER4OGZMnoShA/vh9i17NtDvkZubg3WrV6K/Tg94e3mK3NbvIAxS0CTi4uI4QEP7RpNLF1FYUCBf+T702D49ukl7zQNsoIKvIwxS0GjS0lLZoLp2bMfBnIz0dPlKw/j7+WLSuNHSGIP4+DfyrKAuwiAFjaK4uJhXud7a3bB6xTLOWW0KtHfct3snunVuDzcXZ+G2fgNhkIIGqZb2iHddXTBy6CBMnTAeEWFh8pWm4XDLDj27dsbenTvw4UOKPCuoiTBIQYM8i4zAzKmTMWxgf04UbyiI8y0oGDRr2hSMHz0SwUFB8qygJsIgBd8lMTGRk8UpSfz8OYNamThNJTMjk88itbt0wvVrlvKsoCbCIAXfJDMzkyv/tTq0w15p/5eWmipf+TEox/XRg/ucJLBl03qkfEiWrwg+IwxS8FWys7M4iNNPRxtrVi1HXFysfKV5JCYmcCrdqGGDcc/LU54VfEYYpKAeVE51y84WXTu1h452VwQHK26/l5+fDyODs9Dp3hXnzpz+4f2ouiIMUlCPp5IBLpw3B//1H3/DjCmTEBYSojDDqa4GQkOeYtig/li2aCGSkxLlKwJCGKSgFsnJSVxONahfHxyT9o9WVy1w8oQuggL85Uc0n8LCQiyYO0taJbXg6GAvzwoIYZCCP2H5xqOH0b1LR+zZtYMzc9LT0+F4+xYbpc3N60hJaV4gpqSkhIuYZ06bgl//+XeWiRR8QRikgCkqLIKFuRm0tTph6eKFePkyRr4iXSsqgqtkRHq6R3HZ+CJ8Hj1EUmLTXM2cnGz+vqtmV3DB6BwrCJAi3Yypk5pt5OqEMEgBp7HRqjVYclOnTBgnuadfL6eKiopiYzp35hRsb97AEz9fRISH4U1cLD5+/CgZXQ5yc3M5eTw9/SPiYmNZAjLA/wncXF3YoCkXNlr6OcVFxdi1fSur0jk53hapdDLCIAVsMLRSDenfB3fdXFFNkZevQPOU0xr/Jg7XLK9i66YN2LRuDc6eOgkHezt4eXjgvre3NLykveEtnDp5AmtWLOPSK5OLFxAeFoZ8yS3+HCCi/Wn/3j2xe/s2PmYRCIPUeOLfvMG6VSv5eOPKZRMUNKKcqlr6ly6tiC+io/AsIoJXVFcXZ8ko7XncsrWBs5Mj/Hwfc7rcy5gYfEhJ4eOUmtDqSal0o4cPYW0egTBIjSY/Pw/HDh9Cz65dsHfXDmRkNL6cqiZkaGlpH5GUnCLtB1OQnJiAj6kpLPPxPQoLCziIpNWxHRzsbDngo+kIg9RQyqQ9m+VVc1aLW7xgHmJfv5av/DglGUlIjY9HSnYRGpvxSqVY/Xr1wJaN6zlvVtMRBqmB0Irm6eGOwdKeceLYUfD7pohxJSpyEpEQH4fYNylIzy2VZqh1eTY+Jifi/ZtXiHv3AWl5ZSgpSkO4tyv8nSxxL/g5QlO5XWuDxLx4gaV/LODSLn9ZYFmTEQapYVBghkqfpk4cj0H9esPptsPXgzjV5SjLeIXIu5a4Zm4Os2teCHidgbzSLKQ994KHox1szY1w3tACNz1D8DItDp4u9xHz+Cr8g5/i3rNqVDXCIikqe+nCeXTr3AHmppdRVfVJZFlTEQapYbx69QprV63gQmGzy8YcNf0qGcEIcz6PE+c94PvsPVJSs5BXXILUd89xz/Y2Ql6+QdqHZARfOwdTPT1YRr7DfXcvPHUyhYd/GAKSG7dCfrpBBKKfTg/+vd5quLyHMEgNgsqpqDsVHf4f2r8XHz+myVfqkxFwE9d3L8HGU1awc7uLux6BiIxPRkJKLHy8Q5FR/GklS3IyhPHWjbgQmYO3H1KQFv8K79OykN2EY0WKwC5bvJATBei8UpMRBqkh0ME7uYR9enTHkj/mN7ASlSLaRh/HF87GvpsecH/ohbsX9WBqaQ+XmBykZX5aVas/BMHV6Bh09W0QkCntN3m26RQXFXEbgl7du0LvhC4q6xyPaBLCIDUAcgs9Pd0xbFA/7kT1uTvVtylCpNUhHFm8AgaRVSikqWA9XNA9hL3O+fyIqtwkvPYyxzUra9wKTkMerYiN8VG/An0bZe+MHDqYq0zexTdNQEudEAapAURGhGPqpPEY2EcH9rY2Xw/i1KIa793NcHX/dlx4moGkggLkPdKD0ckTOOgYj9S4APha6uO04U043AtA7JvXiE2rRFkz4jG0l6WMnsH9+/LvqKkIg1Rz3sTFsWwj7RsvGJ5rtCZOeWoQguxOQfe0JWwcrGGuuxcGV27C/oEHbPfMweJZMzBn6SZsXbURumcs4BhfhsIfXCEJuklQKl0/nZ7YsXWzxhYuC4NUY9LS0jgThzRxDuzb890gTn0KUJD2EhH+/giSXFxfn2BEv0/Bx4z3iHnsBi/vh3jk6wc/Z2fcl1bJ8NxKaefZPF6/eoVpkyawW035spqIMEg1pbi4CKYmJuit3RUrliziyosfoxoVpeX4/npVxQGdZiyQDAWeSEy5b09t2FrfaDD1Th0RBqmGkPv3Sdh4MGfikCRHw/tG5cDe1ppbo29ctwbZWZpXASIMUg2hIM7MKZMwqG9v7k71ucW4KkCVIYsXzufOWhR5VZUbiaIQBqlmUCX/6pXL0UOrEwzOnPp2Jo6SUlFeAUODM5xKZ3nVgvV3NAlhkGoENbShIE7n9r9zNX5zhY3bCuohSSskpdK9e/tWntUMhEGqCaR3anbZBN27dOI0NIpYqioUYSVjJOU7n0eP5FnNQBikGkDlVHccHTFs4ADuv9hQi3Flh85KqVazS4ffccnIUKMKl4VBqgEURZ09bQqXUznfcUJZaXNPBNueyIgIyW3tj6WLFrBUiKYgDFLFIeVvSjmjyn8jQwMUFHzKNVV1SBN288b1vJekSLGmIAxShcnLz4PukcPo1rEdtm3eyFKM6kJpaQnsbG1YfIukIzUlSUAYpIpCxxkWZqbo1rkjFs6bzed36kZ8/BuMHTkMs6dPVcu/72sIg1RBysvK4ebiwtUbE8aOZsFidYRWRUo0H9i3Fwd5NAFhkKpGdTUC/P0xY8pkDOzXh/VP1bUygv4uJwcHFuPauHa1RqibC4NUMeiMbv2aVRzEoYaqJBKlziQlJGD+7JmS6zoc0c+fq30qnTBIFeJTd6pD0O7SETu3bebyKnWnqrKS26pTnSQ16qFgjzojDFJFqKisgIX5FfTo2hnzZs/QKOl9ElMm3dYVS/5AVlamPKueCINUAahaw9PjLgb21cGYEcPg8/ihfEUzSExMwJqVy7kxT3h4qOS2qq+agDBIJYfefE+DgzFl/DgM6N0LDnZ28hXNwtT4EsuQGF+6ILnu6rtvFgap5JBrSonW2lqdYXzxAgoKNKsc6TM+jx9h/OiRWLZItRPnG0IYpBKTkZGB43KL8X17dnFnKU2FGvHs2LKZFc69vbzkWfVDGKSSQhUc5lcuo7d2N87E0fT+iZQkQL0ntTq1xyl9PY44qyPCIJUU6k41ZGBfjB42FH6+PvKsZkOdssaNHoF5s2ciPDxMnlUvhEEqIZGR4dzrn/rv21rflGcFGenpOLh3DxcuW9+4Ls+qF8IglQxKqCZh4+6dO8DI4IzoKlwDSp276+bKMpF7d+9QOb2gxiAMUokgDZzPwsb7pDdcauoH+YrgMx8+pHBvy+mTJiAiLFSeVR+EQSoJxUXFrInTq7sWlixcgJiYF/IVQU0o2HX00H4M7K3DubzqhjBIJYH6Io4YPBDjRg2Hv5+fxva2aAh6Xh7c98Zw6blatWwpiorU61xWGKQSQEGcGVMmoV8vbdyys9GIMqPmkJGRzlo7o4YNRogKqbI3BmGQbUxSUiIHcbp1ao8z+idRKoI4jeLsKX3O7T1/zkCtgjvCINuQTy3GD6Bz+9+wfctGpKuRJk5L8+DePe6StWDOTHxUozI0YZBtREF+AWfi0PHGogVzERMTLV8RNIasrCwW9urdoxtLmKhS/5LvIQyyDaA3j6vzHQzlFuMjRSbOD2JlacGpheS+Zmdny7OqjTDINiAkOBizZ0xD/z69WDNGHP7/GKTQPnPqJMybNR0xL9TDwxAG2cpQd6r1q1dCuwt1pzqttknSrQGJKR89fAA63bW4H6Y6IAyyFSFVcc7Eaf87Nq1fq1bCxm3BZyWFnl278PNK5WqqjjDIVoLcUhI27tq5A+bOmoGXIhNHIVCr9lnTpmDW9KkIDgqUZ1UXYZCtAB30u7u6YqC0Z6TyIap+FyiGnOxsnNbXY72dqxaqL6YsDLKlqQYCAwI4E2eAZJCODrdY2lCgGMhtpSh1f50e2LZ5E/JVfE8uDLKFeRMXh43r1qCHVmdcMDJEdnaWfEWgKOhMct6smdwb089HtY+QhEG2IPnUnUrWxNm6cQOSk5PlKwJFQhUgZ0+f4sJlA+mjKiMMsoWorKpkYWOSLqSgA8lPCFoGSi4PCgxkzdrFC+YiJ0d1kwSEQbYAVCLk6X6XD/5HDh2Mxw81S9i4LcjPz+ck/WGD+ktu62OVLV8TBqlgqqqrEPr0KSaPH8uaOHa21vIVQUtjfPE8u616x4+pbAWIMEgF8+rVS6wjYWNp33hejVqMqwLBkts6c+pkjmh/UFENW2GQCoRU0Y4fO8JBnN07tiIx4b18RdAaFBcVsSodJZzf9/bmYI+qIQxSQVRSdyqzK9wTf+7M6YiOjpKvCFoTezsb7oFCiu+ZGenyrOogDFJBeJGwcf++GD54gAjitCGRERFYMHc2pk4cxw1eVQ1hkAogIjwMk8eP46oD65vqKeCrKlBdJNVH9tDqxKVtqla4LAyymbyLj8fKZUug1bE9zp7WR2lpqXxF0Fb4PHrIEe59u3ciRcWSMYRBNgMSNtZlYePfsXPbFpV78dWVt9JNcvHC+Zg2eSJ8fR7Ls6qBMMgfhCJ61PO+Vzct/DF/Dp5HRspXBG0NJQnQmWSfntoqJ6YsDPIHoR4TJNY7atgQLqcSFRzKA2XphIWGYmAfHaxbvRKZmapTuCwM8gegPvd0+Eyy/zY3b3DvQoFykZebi2WL/2AleIqAqwrCIJsICRtzEKf979A/oYsiyXUVKB9UFG5maoKhA/vhxLGjKqNuLgyyCVBInYSNO7X7FVs2rGORJYHyEvXsGddIzp89U2X0i4RBNpKCggLOxCFhY2oxHqWCh86aRmlJKbZsXM+rpLenBypUYJ8vDLIR0OEyyQzSCzt2xDA8evhAviJQdq5ZWmCI9Lrt37sbJSpQASIMshE8DQrC7OlT0adnd9jZWKtl51515UV0NBbMncV9QBLeK3+yvzDIBkhMSODQedeO7XBK7wSrnAlUB6r4OHHsCPcAcXG+o/QRcWGQ34H2jSTA27ndb1i/ZhVSP4gW46qIs5MjJ/3v37OLW6IrM8Igv0GpdCc1N7uCrp3as7tKro9ANSFR6hVLFmPsyOEIDw+TZ5UTYZBfgYWN77pxXR116X304L58RaCKFBYU4vKli9LNtQNu3rim1G6rMMivQF2VKBOnb09t2FrfREWl6lWeC2oT6P8Eg/v3wdbNG/D+/Tt5VvkQBlmHz8LGJMNB3aky1aCBS+OpRGlhHvJycpCbm4O8/EIUqcm9iORUNqxdxf0473l5yrPKhzDIGuTl5eP40SNc27hBMkplvpMqnlKUpT+Dn5M1bK5dh62NFWxvOcMj/CNy1SBVt6ioENcsr0Kne1cYnTOQZ5UPYZA1sLhyBd0kY5w2aSKiojQpE6caee+D8PCiLi7aeMArPAovop8h0N0GV/UN4RiWgpRy+aEqCuWyxsTEYOjA/lixdDH36VRGhEFKUIoV7RWpXIf0VFWtqLXZVCTihbsR9iw5gOtPPyBXnq5M9MPD44ux4cID+CSo/jJZVFiIXdu3YtTQwZzgoYxovEFSRNX1jhNn4YwcOgiPH2mgQFW+Dx5b7sGcdTYIeluje1RuFN7ZbcKc7TfgGKT6CRFUs3r/njeGDxrAcQJllFvRaIOkQlY/P1+MHz0SfSWDvGVvJ1/RMPL94XNtH+avu46AtwXypETOc7y+tg7zdlvjTmiOPKnaUJDuj3lzOJUu6vkzeVZ50GiDjHkRzfuJbp3a47yRAXJzPztrGkZVAqK9LmHf8mOwD01ClrTfoj1Xwev7cD+yEBsv+cA3UU0UEaS/S//EcQyTVklzU1OlO5PUWIOk+riD+/eia8f2LFCVnJwkX9FEylGYEoonZkdx8owprFwewu+BI+wvHsexI8ZwfvYR2WoQaf0Mua0Tx47C8sWLlO4mrJEGWVZaBuNLF7hVHDX6fPUyRr6iwVQXozTlKXzc3eB29x587rvA/a4HvJ6mIKdcNartGwu5rZvXr+EgXnhoqFJ1ytI4g6woL4ebizMG9u39KS1O1DbWp6wIhYWlUKNFsR4WVy6jn05PGJ83Ql6e8qySGmeQkRHhmDB6JLS7dMJ1K0t5VqBp+Pn6cHrkskULER//Rp5tezTKID+mpeHIoQPo8Ou/sGPrZlFOVQNSRSCNIOptGR4Wxn371Zm3b+OxddMGVhMIDgqUZ9sejTHIwqIiWFqYc6EqNWMJCwuVr2g2dDYXIRngmVN6mDtruuQ9jMKY4UOxfcsmVkpQV+gMkjwkiiNYmJmy8LUyoDEGScLGwwYPwNBB/XHP20slBI9akuSkJN5LH9q/FxPHjOJk+hFDBvKB+eTxY9D+l58wbtQIGF+8gLjYWPm71IvQkBCMGTkcG9askv7G1/Js26IRBkkuGOWnamt15ATjkpIS+YpmQRqydBh+y872kxrbgH7c6ZmEu/bv2c03qoyMdIRIbis1qundoys6/vYzVi9fxiJf6emqIaXYWKjL8p6dOzB62BD++5QBtTfI5KRErFq2BJ1+/4W1VQoLamSiaAAU0s/KyuRkeTPTy5gzczq7aaS6PnvGVFw8b4TXr17WC/1TdcTdu65YOHcO6wlRJhM1FiLlBHURhy4tLYGz42301u6K0ydPKEXHZbU2yJycbBw+uB8df/+ZXbEPGhTEoUwbajrzxM9Xckv38REP3ZQG9O7JwQxXZ2e8f/eOdYO+BeX50mNMjS/xKvLbT//A5Alj2cvIUJM60YR3bzF+9AgsWThfKc6j1dYgCwrycdX8irQ36sDBimcREfIV9SdBMqLrVlexavlSPm/t1rkDJo0bDT3dY3h4/z7LIVZWNv4wPD8vD0EBAZJ7tx09u3bh/Sa1U/D28kK5Cvbxrwl5Avt378KYEUNha31Dnm071NIgKWDj7ubKe6SRQwdLbxzlrRBXFORG+vk8xrmzp7Fgzix2w3prd+NWeecNz8Hfzw+FhYXyo3+Mjx/TuEyNlNt///mfGNyvL/SOH0NkpOre7Oi4h/STSJWOUijb2m1VS4MMDg7CzGlTuHfjjWtWfOShjlRVVbNLSTcc3SOHWJ6CVq8h/ftizcrlHNZPaAHVg9evX0l7Lj0uY2r/678wa/oU2NtYq4QQ8ddITf0g7aenYcqEcRxRbsvGPGpnkPSmWLdqJTfEoa5HWZmZ8hX1gVzI+DdvcMfREZs3rkN/aV/YWfp7KVp65MABPPH1bfZq2BAUBArwf8J7c62O7bjnyfbNm6Q5f+RJv5+qoXv0MFeAXLtqgcqKtjsSUyuDLCwswNGDBzhUv27VcqSoUQUH3bUpyEIaoxQZJa3Ynl07SysiJcjPkPbLZtK1GOTm5LRasjT9P3QUYm9ni+mTJ6JL+994m2BkcBaJCYltutI0FU/3u7zPXrtqBQry8+XZ1kdtDJLq2syvXOYQ/YypkxAdpXzFpz9KQUEeNx2loAoFHyhIQ298yqZxdHDgus62PIooKyvFs8hInD11kisoKKlgvrSPdbC3RWEbvrmbQvrHj9iwdjWvktFtqKekFgZJFRzud13ZdaM243TArQ7Qikcu1FpptR/Urzd6aHXiY4ejhw5y0IqybZQJcqW9PDx4/0qK7zrdtbBr21ZO5KbgibJjcuk8v4esrppL3lbb3ODUwiCDg4Ikl2kCvwEokEGunapCkczAAH+YXLzAUhMUmKIxb9Z0yRU8w/V7yv7mpiAJJSFMnjCOo7F0zmdy6QJev3olP0I58X38CNMmTcCqZUu5yVJboPIGGRcXxxqqVPmvr3dcJdO7KNGZFAtI7e7YkYMYP2oEy4r069UDq1csg+NtB8mlSpMfrTrEvHiBQwf2YkCfXpyUsPSPhSxSrKzi0ykpKdi3Zze73f5PfOXZ1kWlDZLkF0jYuHP73ziy+jY+Xr6iGpRL+96UlGRpH3hLMryl6NtLm/eHlNSte+Qwr5SZmRlK30Lte1DxL20hli9eyGVv/aS/kRLaaZ+mDKlqNaEg1e1b9hwsu3TeqE2COyptkCRsTCvj5Alj8EyFDqfphY8ID8MZfT12tckIe3XvKq0gC7htemjIUw4yqAv098a/iWM3ltxXOrukEi9Tk0vsoisTz55FYNrE8Zzl9CI6Sp5tPVTSIEvLSnHd0pJduinjx8Lfr23ci6ZQkJ8Hn0cPJSM8yW7orGmTMXPqZE58p1Xe1saaXbyqJqS0qRq0t/d/4gdDaS88Z+Y0DBvUn2tTLxoZ8t+uDFD+87kzpzFkQD9Y37gmz7YeKmeQ9KLecbqNnt268Avq80h5NXEo+EKZH64uzji4fw/3J+zWqQMG9tXButUrYHPzBhIT2yZ40NbQ6nPs8EH00+mBDr/8C4sXzIODvb1SNFQNCwnhaCsdK7W2Kp1KGSS9wSmETkWlfXv3hpPjbflKQ1SirKQAuVk5yM0vRmVVyx5Y5+Tk4NWrlyxXv3blcn7TkSGSIDPtDZ8GB6GkVDNrMmtSUVGOx9INdY3kMVDSOu3dqA4zLPQpV6q0FdlZWRyAmjppAh49aN0bvkoZZPTz51i++A8+/D9/Vh8ZaR9QVlqKoqJiFJeU1zO06spyVEguYFVVChJeBsHt1gM8vh+CggLFnzHRPqm4pATPnz1jl2eqtA+hLBo6ilkk3f1vXLPEm7hYfqOpUgZLS0M32dTUVMk9vMFKBb/96x8YM2IY7y9ptaTntbWhqPcVE2MMHzQQBqf05dnWQWUMkl406hHfrUtn7NiwEiF2+nA2O4Ujh/fjwNHT0LvqizeZxfKjpbtvVhxeeFyHw+NYxMcH4GXkE9jZRiDqtgvKcxUr4ER3VEpM2Lppo7T36MuBJqoyobs9SYfExr5WGs0WZYVuqs+fRfJ+un/vXpyGt2j+PJYZKS7+8rq2BnTDpJs/JetToK01Bb9UwiBpFbx0wYjdvgXzZuN5iB9i7pjDwdYK9p5uuOtxDx5PXuFjgXw8kJ+MRM8zuHRgNdaeD0Bw9FPER/vghqUfAmycUCJt3JsLrXEU2b1iaoyVSxfznoOkJadPmQj9E7qsjp0m3UQETSM7O5uNkI6BOrf7jY1z/97d7Oa3JrRKbly3mhP2qQFTa63USm+QdLdydnJEn57duNzH1/cRqkqzEGh1ETY21+EVHo1X7zPx5z20NBXJz3xw3/wEbhpswYZLIQh8l4WC9FcIfBSKsKcx0h33x/dvtFI/eviQuyuTHEYvbS3eIy6cP4fPrtoyD1KdSEpK4GyliWPH8DEJJX6TaiB1uG4tKIWOlBKotK21sr+U2iDJGKnfPyVU04afopJMRQEibxnB4uwBnDx3FkaXJNfU7x1Si7KRHmYHO0tr3LB2Qsj1Hdhp6IU7EUUo42yzal7ZmrqDK5FcJuqmfM/bGwf27sGIIYN4H0vNP0ksytX5DrKy1a/MSxkgL2SftFWhqDptBdatXil5H/dYJ6ilIf2g+bNn8Vlxa3k7Sm2QlFxNWieUiWNw+tSXvUR1BXIz0nnvlpMdjcDbl3Bks7SnjPSA3Q1jGBw0gs21i7h+ZCEWbj6DU46vkZLXNDOkmwFVMVCnXXtbGw4m0eG9VoffMWXCWJw9rY/Q0KccFqfkdkHLkZ+fx+VRi+bPlZ7/dpztQ9sCWi1bMtuHAk5HDx3g7QgVgVNUuKVRWoOk5N59u3Zy4e3uHdtqVDaUoKzwLSLC4pGcTi9GFdKeuuHymg2wCHgE7/Aw+Hs8RqCHFZz0l2DpLmNcdH+LrKLG7wEoVY3UrCk3dtrkiVyF36enNicd37xxjaUUs7PVW9lb2SDjiH39GqYmxhg9fAg6/v4LJ1ZQMQHdmFsKRwd7ziqiM9PWyJ5SWoN0uGWP7p078pMfGhoizxIFKM6JgJd7KF7Ef1JMy4sJhMOWNbjiH4zg1A94F/UCzx/awctwJVYfsoLFwxQUlDVuhaSKBKpMmDxuDP75//6Gn/7z3/k8isLg9IYQtC3kJXl6uLMx/vv/+ovkynbGaX29FqvOiAgL5aSFWdOm8LFVS6OUBhkSHIxJ48fi15/+wSJKtQ+Jq1AqGaSnuQXsnR4h/MVz+DtZ4dzeM3COisM7aeX6mJiMpEh3BJmswIrDt3AjIBulFd82yIz0dJZLpEp80iElcaj+Oj3YRaK0rjDphkCRXoHyEBIchIP79nBvDq1O7bgGk8SqFL1aUnI/6fmSLu3D+/da/AxZ6QwyKSlR2jcuwN//71+xcN4cVjmjesfoqCgWbGLV8fIkhFlfgKnxFVg6WMPuugXM70RJxljDxy+IR4avKYwdn+NpYv0nkdzShIT33I6OomiURUNJ3gN0emLtyhXSCm3HzXkEygutlu5ubpx4QVubAX10cPK4LqflKfLsklTNySDPnDqJnOzmH5l9D6UySDqDOnxgH2vi0IHsg3v34HT7Nj/JO7ZthsGZU/Dz8UFWVjpKC/OQnyGthJIBJ6fnoqC0CrUTdapQXV6MkjLpozxD0PkS1b3dcbyN1SuWc8kTucaUZ3rs8CGO6pIujSoXOWsSFNRJSU6G6WVjjsa3+/knTJs0ntMW0yXPp7q6+eeHJJGycO5sLF44r8WbNCmNQRYUFHLpEQVQSMCJ2qKR8VAxKyVoRz1/Dm8vDxw/ehgH9+9HdBOrA6iK4nlkJM6dOcN9AUkljSrxly5aAEtzc0SEh/MLKFBNaFsT8jQI+3fvRI+unfm1XbdqBasANPdQnwJ4lA5Jhctk6C2JUhgkRdA83d35XI8GNz75iqteVFjI5TvUkWn3ju3wkL6Hvvd7fExLhYvzHezdtYMLfym/lKpEtm3awFqidPcTq6H6QD0/qZkQBWJICpQ0ak/pHeczxR+F3mNBAf5c7kcq51Q80FIohUFSt6WZU6dw6pmFudl3+00Q2TnZOG9ogM0b1vGhfN1uVrQ/pE7JN69ZsW4o5ZdSg5kJY0bh4N49kiHfbdEnVdD2UJ8OOium7C6SD5k/eyavbuTe/gjkPZEK/JwZ03lb01K0uUFSBszaVSvR4defubtSRnrj9FaoJ4OZqQm3E/OR3JKiwiKkf0znMDVVCsydPZ1dFx3trlwMe8HwXLPukgLVJND/CTatX8s3ZG2tzpKntJ2lUZoq5kxBIuOL5zF6+FAYXzgvzyqeNjVIWgmpxXj7X/7FkgmUFdMUSIuUZCFopaTyneNHj2LMyGF8aExJyZvWr+NEZeoDWKqhPSE1HTqmoKML0oilJA/K+qJKHDprpmSTxmb60M+hPqN0Lk5HLEUKjOLWpM0MkvZtZpdNOD+RomI/oolDmRMkB0H7BFoNqfnopHFjuO8EnSvSEy72hwKCtjUULzh35hRvYSiSTy6o8x2nRh+RUJBx1fIlGD9mpOS2BrbImWSbGCTdlTzuurE8IGmXeLq7yVcahpTaqKcEGd2cGVMxuH8f6HTvit49unHiMeUctrbsgkB1oCMtKo1bv2Y1R/SpUodSMylVsjGYmlxkt/Xs6VMtkkfbJgYZFvKUBWmpgsP8iql052nYnaQmOm6uLji8f9+fXZ4oIrt14wbOb7S8agGjcwbchEYgaAg6i6btzgzJjSV5yoljR/H7iI7Yvgd5cnNnTud+KuQKK5pWN8j4uDiOfJIvT2eKVF/4LWilo2iZ461bvE8cIO0LKdufDvEpgcD38eM/K/HT0tKwZQOVQjnx1wJBY6CsniMH9nMFCXXxWr18Ge57e3M65dcg95aKHsgzo21RQ8duTaVVDZLcBb1jx9Dp91+xctnSrybr0h9Ih7wUEaXzRioC7qFFXZ46Yp70OTXUiX31ip+Ymge+9D2U2kSpdtRjQiBoLPReIjd2+ZI/eKGggKCe7lEu/6MSvLpQXS4FhmjbRNlliqTVDJI2wOamphzEoSpwiljVhaKu1HKbfPoRgwdxStsQ6U60ffNGllIkd7TwG2eUdPZIdyzK9qFzTYGgKdBCQNsiUiWg82qqeyWVAmp2VDdhnTpGL1v8BzcFplYWiqTVDJK6NVGmAxV7enp4yLOfIL/d0tyM+9YPkLVpaI9JOazenh6N6sxLBk/HJpTidOuWnTwrEDQNiqTSOSVtifr21GZliPWrV3JPks9BHFpRqQdmr+5anNyuyGhrqxhkeFgoJo0dzZKIDna2PEeZMtRc5vw5A+6J/zlSumDOTA7O0CrX1J4WtHpS12TanAsEzYEUzKn35h9z50h7y98xfFB/LlinDDAiODAQQ6U5UsmjhBRF0eIG+ebNpyCOTvduvHmmansyRDIccg245Eny2desWA47GxvORWwORw/t55C0QKAISFne0OA0Rkl7xg6//Yx5s2ew1+bv54eN69dyY1o6k1QULWqQlP93Su8EV1bMnTkDhmfPYNf2rXwwS6slVeVTAXJYaCi7CoqANFCoTEsgUCSk00q6wLTlovcviZtRrIO+piCPotzWFjNIypAhvROSiKfkXh3tbvw51R8uX7yIr1HIWdHaNCTPeOWyifyVQKA46CjE1dkZi+bNYc+ua8cO+Nff/wOH9u3l9ExF0GIGefPGdY6S/u+//Hf+pdv9/E8uhxk2eADnApIOioWZKSeIkwiyEck5SsNQ2izXHmfqjXPSSnvu7OkvQzJCGqdPnsCcGdOweOH8P+dIre7zOHtK/89BRyT1hn7tQb9jvSH9HzUHlfbUHbTX0D9Re5w8oftlHK8/9HSP1Rrk0tcdx48d+co4XGvoHq0zjhyqN0iwqe4gz+LzoPzieuNg7XFY2n7UG/v31RrUB7LuoKZDJL1RcxyoOfburjdoZao5SBG+7thbd+zaiT27dtQeO+uMHdvrjd3bt9Ubu3Zs5Z9Jz83ObVswbtRwfk/Te/uv0iBvj0r5FIHCDZKWbrpbbFi7Bv/nf/4P/PJf/8nyiZRuRGFi8rkp5W3qpPGcHVF3TOCPo78MaZ9Z62tp0N6z9pz0fdLcyCGDMKivDoYPHljr2p8/W3oM/Xwe9HmdMX70p/Hn12NG1rr+adBcY0ad7xv9ZY7kQmjUvP55jv5PHjU/rzlXZ9T9f3muxqB+jDW//jzXuPHl/6FaUhq1vqaPNQdf/zL46zqj7mP+fFyNz+t+HxnAp/Hp2tgan9ee+zK+9phxI+vM1f1aGpR0wvM1Bs/JP5feUySwRdk61L+F3FfSX7pqdkW2gObRIgZJB/dUe3bs0EHpDrdHWgHPc4rcFRMTjoB+GpdgaiyNP7/+NEjdjVzOmoNW0bqDEgQ+D1pp6SNl8FOdpMnF8/wEfXWYm9UZ5n8OUg7gYfFlWF21qDeuWdYe162u1hs3JJe83rhmVWvcvH6t/rjxZVjfvF5v0H6l5qBEiLrDztq69rCxqTdIa7buuGVXZ9jb1hukNfR5ULfhuoO6QdceDvWG0+36gyRVag5Sq6837jj9OVzu3Kk3qDa21nBxrjfcXGuPu24u9QYd0dUdlHv9ZdzlwA6JatFrYC15g4oq7WsRl5UOWenMhvaRdHRBn38eNPe9QaLD9UbF18aXn1n3Z3/ruiqNShqVXxuVaj2qvjeqqJNZW4xqaaGR39x1oevS76b0QR2BQNB0hEEKBA1SiJLkJ3CVthlWVg7wuucCF3sbXLO6h/DUAihSsVchBlme8QrRPq646x2MyMQ8FFcUIjs2CAGPfBEQm4UixSbECwStSnnOO8S5GcLwggWs3HzwyPo4jq+ch8UHnOCbVIim5ZN9H4UYZEliINxPrcHaRVtx5mEi0itSEWV/Fif3G+DG0w/IFUX7AhWmND0JsQ89EJxciKLyVERbH8XhzftxwfcDPipYGUYxLmtVJT74WcF82wrstX2GF0kR8L1jhxu3gpFWWVuoWCBQOaqrUV1FpX5FSLt/Fqd378Jeq+dIUeTSKKOwPWR1YRSe3zmB9WvOwkT/JOzu++Bxcgv8xgJBm1CJ6vdOuLxnG3afdEJoE9sbNhYFBnVKUPjuHq5tmoOlq3Vh7p+MLLE0CtSCSpRnR8BLfxP2HLWE81sSxSpAcYwPAmMzkfxJtEIhKNAgJfLi8c5iMVYdvw3rSGGNAvWgLCMKwWarMW/sLKw9YQ2v0Adwv2oIgz3HcT04CSkK3Ecq0CCrUPEhBOHn5mHRDlNc8s1DibBJgRpQkhwCn0tbse+EMUxs3fHQ1Qwmp0/g0HEHBCfnSeun4lCgQZajON4bLkcWYcnq4zD0eIfM5jceEgjanuoqVJaXobxCziaq+JQRVlZOGTryYxSEAg2yGlWlechJS0JSUhoy8krRct3fBQL1RLF7SIFA0CyEQQoESoQwSIFAiRAGKRAoDcD/B7R/t78TgPK1AAAAAElFTkSuQmCC)
maths-General
maths-
In the given figure, sides QP and RQ of
are produced to points S and T respectively If
then
is
![](data:image/png;base64,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)
In the given figure, sides QP and RQ of
are produced to points S and T respectively If
then
is
![](data:image/png;base64,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)
maths-General
maths-
In the given figure, an equilateral triangle EDC surmounts the square ABCD then the value of x is
![](data:image/png;base64,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)
In the given figure, an equilateral triangle EDC surmounts the square ABCD then the value of x is
![](data:image/png;base64,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)
maths-General
maths-
In the given figure, AD BC
and AE is the bisector of
BAC Then
DAE is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMQAAACXCAYAAABKvPQyAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AACOtSURBVHhe7Z2HU5Tbtu39P269qnPvu/Xue+eGU/uEfXYwI5hFRVBJEkRAQcScA4qKOSAqigFRUASUpCIqqIgRBMwiggkBFcmC4HhrLD7dJrCBDl83369q1bYX6O40VpxzzB6wSAqwPyQI/n3+Dwb5b8eFkg9Kv4ZG+1ikIBqvh2HVjhSkbp8N5xEe2JBehCblZxoa7WGBgqhH1vqFCE26jpdV2VhvbwXXFcl40KD8WEOjHSxPENXpWB24AFv3p6Lg0Q1E+luht90CJN6tUX5BQ6NtLE4Qr1KDMXvWbCxZtxN7I3YjYsUE2PzDFouP5uOt8jsaGm1hYYJ4joQlC7EzORvFNbWoqalBXd1VbHftC7tpkch9o/yahkYbWI4gWprQcDscAf6rEX/1pdJJGnFlnR169nJGaEYJ3jdrJ04abWM5gnh6FmF+A/C3v1thWvglvKhr7W56kIatPv3wP//6b/jdcTVyH1W2/kBD4ztYjiDe1+JN2Qs8f/4CFVUNeN/S2v2hsRaVFS9R+vwpnpW+RkNjc+sPNDS+g8VtqjU0uoJFC6KxsVH5k4aGblisIJqEGNxcHHE8IV7p0dD4MRYriBOpKfjpv/6Mf/tf/9IqCu1wSUMHLFYQk70nofev/8T//d9/wj9++osUxYcPyk5bQ6MNLFIQVy5nw2msAzwmuMDLwx0b1q0Rf3bGnt27tH2FRrtYpCDmzJyOZYsXYsP6teK/izBr+jTsFWKY6OaKTevXyRtsDY3vYXGCePH8OYYNtkFS4nEcPXIYwUFL0a/nrwjdshlZF87DaZw9tmzaiLo65eZOQ+MzLE4Q4Tu2w9fLEyUlxYiLPYIgMVMsnDsHUfv3yZnh3t27cHd1RsjKFais1G6tNb7EogRRX1+HMSOHY8+ucLS0tCD6YBQWzJ2N/LxcpCYl4VFhofw9/td3kicWzJuD0hcvZJ+GBrEoQRxPiIPL+LG4mZsjHx+KOoD5c2ah7GUp1qxeie3bQtHQ0Jop9Pz5M8yYNhWB/lNQ9OiR7NPQsChBuLs4Yl3Iqk8nSZwh5s2aiSclJbh65TJ27dyBZ8+eyp+R8vIyLFk4H5M83cUskqf0anRnLEYQ2VlZsBsxHOczM5QeICb6IObMnIHChw/lEirn+nVcv3r1iw31m9evsVaIaIKTIy5fylJ6NborFiOI6QEBYvM8V37BP3IkJloewT588EA+PnQgEv6+Prh757Z8/JHqqiqxGQ+D01h7pKelKb0a3RGLEMT9+/cwfPBApCYnKz2txMbEYPaMQDy4f18+vn7tKjzdXHHxwnn5+HPq6+txODoaY8eMRvzRWKVXo7thEYJYs3oVpk72xdOnf+wPCO8hWgVxTz5ufv9e/g5njO9dzjU1NSE1JRnj7O1wYP8+LdSjG2L2gqioqMCIIYMQc+ig3Cd8TtzRI/KW+v69u0oP8LioCD5ensg4e0bp+ZIPHz7IfQiXT2GhW/Hu3TvlJxrdAbMXROS+vXB3dcK9u3eUnj9IiDuKmYHT5GXcR2rFzDDBaTzCt4fJL39b3Lh+DROcHRGyKhjV1VVKr4alY9aCYM6D/ShbOZK/F8uhr0mIjxOCCBCb6C/FwqPX4seP5RKpPe4KkXlP9MCiBfNQXlam9GpYMmYtiFMnUuEweiSuXb2q9HwJQ755+fb1qVJVVRXmzJqO9NOnlZ62KS5+jAC/KZge4C9FpGHZmLUgvDwmYOWKINTW1io9X5J0/JgUxJ3bXwqC+4IA/ynYunnTp5vr9nj+7Bnmz5st9x63b99SejUsEbMVRM6NG2IzPRDn2tgck+TERDmy37717Zf46ZMSPCp8+MNl00fKy8uxOng53FyccCU7W+nVsDTMVhCMUZo9PRAV4ovaFinJFISfEESB0vMlIcErELE7/Lv7j+/B6NiwrVtk8lH6ae0CzxIxS0EUPy7CEBsrJIolUXsnRakpSZgmlka3CvKVni8JDloGF8dxePCg9eJOF7g8Yyj5eHs7HEuIU3o1LAWzFMSWTRswydPth5vckykpUhAFbQiC9xPZl7I6nEHH4MFj8fEYZz8aUQf2K70aloDZCaLqbRWGi71D5P698ua5PU6lpiLAbzIK8r8fycrZJT3ttEwqeiY2zh2Bl4BcNjEDb8e2ULHs0kqyWAJmJ4ijhw/D0WEMbt36/qj/OWmnTkpBtBfafSX7EkYOG4ITYjbpDJfF35/gPB7r1qxq87RLw3wwK0E0tzRjvIMdtoolky7uGafTTmHqFF/k3byp9HwL/52kxMQO7SO+5lZ+ASZ5uMncCoaSaJgvZiWIzIxzcjTX9diTSxr/yT64eTNX6fk+DNM4GnsEpS9KlZ6OU1j4UMxGvvJmnAlJGuaJWQliireXGIUXyPwFXTibfhr+vt6fUkrbgj+3GzkCxxMSlJ7OUSKEwOPgyeJ53tEu8MwSsxEE7xKGWFt1KIHn3Nn01hniB4JgLkTErnDk5NxQejpPaWkpVgQtlSZpTFvVMC/MRhA0HuN+gF84Xck4dw5+YobI1eGLzrU/T66+DvPoDK9fvcKWjeul4cG5M+lKr4Y5YBaCoPnYYOv+Mr+h+auch/Y4n5GBKT6TkHPjutLTNjyCZRj52pDVeP++60VVaqqrsTdil8yrSDzWtaWYhvEwC0HQLcPN2fGTr5KuXMjMlPsObpp14UhMDJKOH0eTjqEcP6Lx3TvEHo6Rt9q0xNFQP6oXBM/2bYcNluZjugbifYS50x0RBKNgT55IwfXrVzllKL1dgxd4DFNn/BOTkpqbtbRUNaN6QTCE227k8HbvEtri0sULmDxpojQX0JWw0C2YPo25D0VKj36gOF2dxmP9mhDpMKihTlQtCK7rXcaPk75JuuQtfA29mnyFINpKIPoezKcO3bJJ74IguWIvM9F9AoIWL8Lrz+xyNNSDqgXBOg9DbAYg6+K3tjG6wLAKJvVcvXJF6fkxXDbxApCGZh1doukCc795NzJnRiCePnmi9GqoBVULIjDAH3NmzfjCfKwjUFA+EymIjt0H7N2zW9448/bZEBQ9KpT2ODwS/twAQcP0qFYQhYWFsOnfV2xyU9vNeWiPa2JmoEkAhdERGPLBsHFd7i86C40OWMzFSyyhrl/TbdOvYXhUKwi6dXuL5c7z58+Vno7DzTSNjDua8smba/4dziy8TzAUryoqsH7tGmmLo13gqQNVCuJVRTmGWPeX3qxduSTjcauXh5vcS3QU3nnMnjEdmefOKT2GgQ4gzMfgBV5y4nGlV8NUqFIQByKZojkaD7sQkk14Q81THWbFdZS3byvFDOUhwzkMDTfyMYeipCgORx9SejVMgeoE8a6hAaNHDMOOsNAuVwy9mZMj1+idEQShwVmu+DeMYWf5oaUFycePS1HwZl5fF4MaHUN1gkg/dUo6efPMvqvk3cyFl5srLmVdVHo6zuqVK6RvrLE4d+YMXB3HY/OGdXJw0DAuqhOE5wRXWTm0trbrpXOZOuo5wQVZFy8oPR1nBo9+Z84QS6i3So/h4b0JbfsZRl755o3Sq2EMVCUIhmfwqJUXY/qgIC8fHq7O360HoSusP3f50iWjCoIU5OfLOKy5s2dK50AN46AqQcybMwuBU/3kcaQ+uF1QIATh1CVBEOY2RBtx2fSRwocP5AVhwJTJsiiMhuFRjSCYfjmgX29pP/l1nYfOwjRO5jhcOJ+p9HSOeWKUZlqoKUr4Mrxj8YJ58PZ01zlqV6PzqEYQWzZtlPUYnugxvoenRPRiZV5EVygpLpa31jU1hrukaw9a8a9ZFQx3ZyeZ9KRhOFQhCJ75D7UZIMtY6TOgjnFCFJk+vkSMguVp06vXr5Qe48ILPIamM/o3NTlJ6dXQN6oQxNHYwxg9fCjufFXHoauwthxzEPSxSacjB93G6fVkKngfwopJTDZiJp6G/jG5IOi8PdZulDx370zOQ3uwuKKr0zhknDur9HQeWmgmJx77VMDRVHB/lRAXB+ex9jIqV0O/mFwQF8+fx0Crfh1K4tGVRw8ewtVRP4Ig3N/Q0Kyo6JHSYzrOpJ2Wr43Gz8a4Se8umFwQdMVYNH+uXCPrGxZEkVYw7RRV6Qg8ZbKzHSEPANQA70c8XF2wasVyMYMZ957EUjGpIJg9ZtWnl8FCnzmSOwtBnNXjv3/wwH69zTj6gJeZvl4T5aBCux6NrmFSQQQtWSQz2liuyhCwYKIURPqPiyvqSlnZS8THxeLeZ7WvTc39e/fkheb0qf54+PCB0qvRGUwmCDrwWffrjfijR9Hc3HVjsO/xpKRYbj7P6FEQjLEaO2Y0VgUv73QmnyHgXUmrr+zEH1p3arSNyQQRvnO7rMBjyFK3T56UwFHPgiC8L6E9jtooe/lSBkZ6urkg60LnAxq7MyYRRG1NLYYPtkHErp1dznloj6dPnrYKQs93B3zOp0+dQn5ex72iDA2DEDdvXC/TUk+fOqn0auiKSQSRkpSIoQMHtFkdVF8wSpQ2kob4YqwOXoFp/n6q3Mi+a3iHvRG74TzOAQlHY5VeDV0wuiC4X+BR6JrVwTKZ35DwmJSCYGktfcMZYvu2rao92eEFXuyRw7IGHm+3NXTD6IK4dvUKrPr0lLXdDM3Ll0IQYgOcdvKE0qM/KGa6cnCWM9ShgD6gjY+L41iEhW416PLUUjC6IGYETMWMwAC8raxUegzHS7HJZFiIIQRBTqelYcHc2ci7qe5THWYMurk4SkvQ6irtAq89jCqIR48K0b/37zh5svPmYx2hvKwcDmNGif+fYQTBUr78knXWatOYMEd9koc7li5aIAaKztfSs3SMKgjuG9xdnPGy1DiJNvR3chg9EidSO1dyVxdodUNT5bo69Tt6Mz+EJcZmzQiUg5PGtxhNEEwLtenfG4ejo/G+ST8FSX7E69ev4DDKFidSkpUe/ZNz4wYWzp2DSxc77+xhTEqKH2POzOnSV1aNx8amxmiCiIrcL3MeioqMNzK9ef0GY0YKQSQbThAvS0sR6O+HY/FxSo/64QVe0NLF0rOKAYIaf2AUQTDP4aP52Lt3xvMaooXLmJEjkGpAQRAum06mpOjNHMEYMDp2w7o1crOtz1gvc8cogjhz+jRs+vVBfr5xp2je2rYKwvApl4sXzJelfc2JBjE47dq5HS7jHbTCkAoGFwQtGie6TZCRrawXZ0yqq6plOa6UJMOaCH9o+SCjTReIvYQhiqwYEl7gxUQfguM4exw6GKX0dl8MLoj8m7no2/O3LlvBdIbaGiEI22FIMrAgyK2CApxJTzfK/YohSE1JknFfdCJv6sYXeAYXBEOSeaLBEx9jU1tXg1HDhyDJSDbzx8Wyw5wdMWjGwLTUTevWotqAdTHUjEEFwfDrfr1+Q3KS/szHOgLvBqQgjhknVDt8RxhCVgYbJB3WWNAMbaKbK5YvXYKybniBZ1BBMAF+vIMdXrwwTQBcQ329EMRQMXIbRxD8AjG+qay8TOkxT+7euS2dCulY+LhI/9VY1YzBBMEjzyHWVjKZprHRNBvNxnfvMHLYELmUMRbnMzNxOCYalWa6l/gIyxLPDJyKAL8puH3rltJr+RhMEHGxhzFkoDUKHxqmkqcuNDY1CUEMxvGEeKXH8HAAYEChJVx4MeZp8cL58J7oKcsUdwcMIojGxncYO2YUNq5fK5ctpqKp6b1020uIO6r0GB7eXHPPREcRU+yb9A1tRteuXild1LuDr6xBBJF14Tz69vwVOTldrwLUFZqb32O4kQVBKsrLER8bizu39WvNaSoYacAoA+fxDgaNC1MDehcEw7r9fLzlcWt1tWlPWzhCm0IQFIJN/z5yhrQUmluacSgqEo4OYxB7xHJ9ZfUuiLtiqdDnt1+Qcdb0Zl5MuWC9ungT5BXvidiFRBU6c3QV+ttSFMzZNrdbeV3QuyCCliyW59ivX5nGNv5rRgwZJDb4R5RHxuPNmzfSKdwS8w442NHAIHTzJoMWtjcFehUE7xuseveUI3Lze+PkPPwICuLokcPKI+NB8wH6rm7asF7psSyuXbkqqzOxSiv3TJaCXgXBOBiGebMMlFqwHToYR2KilUfGhTkSyUYKGzEFt28XyOL2LPn1pKRE6TVv9CYIxr5wvU5HPjXZs/Ni7nD0IeWR8aHRMp1GLBXeZE/zn4IZ06aqyu+2s+hNECnJibDu21uev6sJxjLFHDJdWLO/r4/0oXqlkj2VIeDdC91HfL29ZLF8c0YvgmC4MEtXrQpeobpke8YyHYo6oDwyPqyqumHdWrwse6n0WCa8wAsR+wkWyr+UZR755d9DL4K4duUKev36TxnYpjZGjRiKgwcilUfGh0lRd+7ckfFA+i4ZpjZooRm2dYs0RjOEW6Ix6LIgeBHH4uL0Oa1SoQkWN/k0ODAljKXydHNF9qUspcdyoYsh32/eVSSYkfHCR7osCJat6vPbP41mPtZR7GyH44CJvU1ZqDF4+dIu18s2J5ijzdD/qAP7zeoCr8uCWLN6JZzGjkG5SnMAaDIQuXeP8shEiIGCSyZuOLuTvypP2BzFd2Pn9m1Gz6fvLF0SxKtXFRjQrzcOHTyA9yodBSiI/XsilEem48rlyzLhxhS55abkqnjdrFWxfk2IWVzgdUkQtF1hvgELk6gV+1G2Mu7G1LwWg8fmDev1WgDSXKBDeoDfZJleW5CXp/Sqk04LgrODTf++cgPF4utqZazdSOzZvUt5ZFoq31bicnZ2t6wWyovblSuC4OHqrOrDhU4LIib6IAYN6I/HBqwRpw/GjRmtGkHwco5Oefxi0K+qu8EIhu1hofKiMl3PZc70RacEUV1TLb9om9avU/3Z+niHMdijIke9VcFBCFkVrDzqfjBH5dCBSHkCxfD4lhZ1FZvplCBYgOPXv/8VN3PVf01P862I8J3KI9Pz/PkzGdv05vVrpad7khB/FEMHWSP+qPFD89ujw4LgXcPCeXPhPdHDLD5Uxu3vVpEgyL69Edi2ZbPF31y3B+8maMjAAYtFONVChwXBAuG0pmyd7tS/DqaR767wHcojdcAiiPSCLXr0SOnpvvA2m4XwGaKvhgu8Dgti66aNGDPaFmVmEqzGM3A6XKsJlgtOSU7Cwwf3lZ7uDY+iWS2Wx/imvsDrkCB4lj7EZgD2iynfXAxx3ZwdZeKS2sg4e0Y6cxi6NLG5wMBQJ7G83bRhHd68Md1SvEOCYCqmdb8+ZmVv6ObihJ3bw5RH6oGbStZ7y1f5RZUxoYO6u6szVgQtQ6mR6hB+jc6CqK2pgaODvYxdMqfNoLuriyoFQavLk6mpuJmTYxGGZvqCgy19ZefOnoliE9xx6SwIRmr2+uUfyBUfoDlBB5AdYduUR+qCe4mk48fxQNtLfEFpaSlmTZ+GqWIGvX/XuGmpOgmiqakRU6f4YlbgNNSImcKcYGHBHdtClUfqgrXpnMbamzxfQ43QLJtVpyZ5uMlKr8ZCJ0HQHr3nLz/jbLr5BabxDd0eulWVuRp8TjEHoyzamaMr1NfVYdP6tXBxHIeLF4xTHP+HguD6dsWyJZjg7ChVa25M8nRXrSAIn9fF85liKWpaH1y1wrSCfXsi5LHsqROGT0L7oSCeiXVu/z495QkT0wPNDd9JExEWukW1G1eaMvh4emB6gL+qo4ZNCUUQH3cUDnajpAujIS/w2hUExbhr5w7pt2SqY7CuMsVnErZt3axqMScdP4bt27aitta89mfGhhGyDOdnBiSXU4agXUG8fv0atsOGyA9LLamPD+7fR2pKsrTLTGiviRGFBRBHCDHTyl3tsxsLkpi7p5ExyM7OEsunMWIZvEXWIdc37QqCIxfjltR0LLhy+XL89N9/lheEtKlsr9HX9b/+498Rvj1M1YJgnoCPlyd8JnqYtMCMuXArP1/sacfLMHp9p6W2KYi6ulq4uTjLoy81hRdEhIdjyaIFKHupWywVj4u3bt6oeucHJlwtFa+L4TEaP4au6t4T3WXk9fNn+kthblMQV7Mv4bef/6Y6X9KPguClli4wl9ccBMFBp0h8yLyp1TbXusELPHrKThOf8cMHD5TervFdQTBwb/aMQPj7eqvO/5+CYCHAZ091GxUoiC2bNpqF/ct+sVl0cxqP2wUFSo/Gj+BVAAdIbw835OfdVHo7z3cFwY1rr19+xkkjnPt2lI4KItDfT9bLVpMjeVvk5uZI0+CMc6avvmRO8Oh6w9oQuDqOw+XLXav++o0geF6/NmQ1HOxGmjQMty06Kgie72/euF4IQv0BiVwqsRRucfFj1ZlGqx1Wvo3YtRPj7UfjTPppfGjp3ED+jSBevHgh7WUORO5T5Vq2o4Kg7yyr+DQ0mMfpzb27d+W62FRFXswZDuZHD8fAfrSttNLszL7xG0FE7t8H2yEDpe+SGtkXEYGlixfqfMo0Z+Z0bBEzBGtWmwM8dl20YJ5MlNHoHHQepyjoKNnRY+wvBFFeXi4r7nAjytKyzPlle1zEVoTHj4tkjLpsYlovka0YJSXFsqQSG8tpyfa0tXEkf/bsqTwVku35M2nUxXp0bKViRuItOE8MWHiDSwZ+2WUrYyuTvrF8bhUV5dL6ZoYY9ZlYw8KOn9rr17JxmceCh9xs8eImwM8XK5cvk/8fupNXib6qqirZqtmqq+XBQU0NW43M+2AaI1sdm1i6sNXXs9XLN5j5IGy0f+fehI1TNjfubByZ2BiHw1mWjTWzeRfC1tLcIkczNu7RPraP8P1kJKypyxqbM6yRzvRhZnfyCkFXvhBEZsY59Pn9Fwy2toLHBGdMdJ8AL3c3GTHq7ekuL454gcT4oMmiTfH2gp/PJPj5esvsL//JvlJMbCyzNG2qn1zDs3HpwsY4dzaO3Gz0O2UyyPw5s2VbOG+ObKxbxpFy8cIFWLpoIZaJtmLZYhkuPWLoIPl3Vq1YjmDxZV+5PEj+eVXwclkEkBc2a1etxEYhHtapHmdvJ4t5bBaj7qZ1a2UEJW0lubfgCRTzxFlRM3TLJmzbukXWONi+LVSGje/Yvk0mGIXvCMOuHdulgwdtbSJ2h2Pv7t3SJpPesbLt2ysNBLjcpOv1oUjRDkTKkSr6YJS8a2B5ryPR0WJJFIPYI9EyRizu6BHExcbK2/ekxONyWUi3ENb6Pi1Gu6TEY7LwCt0pePt+IjkZJ1JFO5EiA97STp6Uv3c6LQ3pp9PEGjoNZ8+cxrmzZ2TFUH6u5zMzcPFCJrIunpcFTeieRxfBK5ez5dH69WtXceP6NSnEjy0354bScnBTbPhbW668UZct76Y82eHgRIvKgny2fBQU5Mvst1u3CqSNJY2e2e7cZrsto6db2x1ZxpnLRLb799juyUbHdB7u8FKYR6pshQ/ZHspG1/lHhYXyPoLH1Z8P3BywOTgz16Rfr9/lgMjHuhwQfRIERys+Eb5xPOU4d+aM3Jyks6Wdkm/4qRMn5MkTq9nzg+EHxA+KDhxcs7HI4LG4OMTHxcoPmR92rFjTHRbrYX4RWNoqWnw5WMAkKjJS2pDQqp5fJkY0srYzv2gR4Tuwe+cOmQvNLyNDLxixyi9qqPjy8tSIbfPGDXJ/wALpG9atkYa6PBBYG7JKZvZRGKtWBCE4aKlsjNpdsXSJLB28bMkieVy3ROxHFs8X4ps3FwuEEOfPnS1FOm/WTClYHj/PnN4q5hkBU6W4KXaKfqoYAPwne4sBYZLM8po8yUsOGLTo8Z7oBi8xkDBBydPNRWbuMZ2VOd4cuVhUxHm8gxQ4MxEd7ccI4Y7G2DGj5HRvO2wwRg4dLO38WfRl5HDR5A38IAwfbINhg6wx1MYag20GiAGsPwYN6Cf3ftb9esOqT88/Wu+e6C/b761NfEH69frtU2MkQt+ev6Lv762NA6J8LPo//h2rPr1g1beX/LfZBlr1lY3OjYPE/3uI9QCZaz9soLV8XsPE8+OgxefK5zxqWOvzZ62O0bbDpAH1mFEj4DBqpHitIzHWbpR83dwQ08BMvh/ifeGg4Dx+LFzFe+XqNE6+b4y6dhfvI1NNWa3IQ7y/E93ZJsiBm9HNHLjloC0+E1aQ+ut//1kOqLoYcn+zh9AwIJ8tj9prn/O9n3ekcYnGJRuXcFzOveNyTyz7uAzkspDLRC4buZR8W1mJyso3ctlJ282KigqUc8kqGpeyXNq+EEteLn25FObSmEtmjshcTnOE5qjNEZwjOkd5jvqsO8iZ4baYIThzcBbhzJJ386acdTgLcXa6ce2amK2uyhmLM9fl7Eu4JGYyzmhZF87j4vnzYsDORKYYtDPFoE2jBuboyIFbzIysC5528oQcuE+kpoiBOwXJYtDmoHz58mU56P8ITRAaGp+hCUJD4zM0QWhofIYmCA2Nz+jBG+4PLWLjJc/O3+N9s/l6BH3gOb88229B88fzf3N6OeJ5t8jXIDbEnz6T1s+lublzoQgaX/K+vgbVVdWoa/z++9nj9IlknEw7g8yMDFwQO/msi5dw9UYBil5U4p2ZfQZvi/OQfSYZKamncO5cBrKyLuHK9VzcvleIktI3aFD762mowJO88ziRnIJTaenIyMyUpyrnM9JxKjERZy7fRan6YxRVSUu9eG9vZSEtPhoHIw8h4dQF5N3NQ96DV2ISUH5J0MO795/w8+gZ2LZrDw4e2Id94RsR7G8HW/tp2HelDI1mNMKW5Z/EDt/e+OmX4QhcEYpDByOxf+c6BPm7wd1jNsLT7qGyScWqqHuOgoQlcPr9b+g7cgrWRUWJzyQK0fu2IsjLBoMdArE7uw7aXNExmqvu49TGKXB18kXInnicOZuG47uXYLK9FWy89qKw5g9F9Djs+R/oFxiLJ1VNn0ILGiuvY5P9X9DL5wCKqsxHESxTVRLlDevhftif/aL19fAMvrECOXsmw9ZmAtafLESDal+SWCpVX8A2D1vYT92Dgg/iq99Uh7rqKlS/zUNc2Dps3JsFzYpAdz40vkR26AQMtPHF/twKNIo1NO9nWppr8OxCKPxGBeBIUQ0+SqJHvM9/wmZ2Iio+u8RrrsxHmJMYpXwj8ajavLK3XsT4YdCoaTh47avgxOY8hHv0wiCvbch+rmKR11/GLm87jAvYg1tiH/Eu9ygORx5E2guxonryALcL7sH83LFMRQuqC2Mwo//fMG79VXwztteV48a+EETliu2B8rMecd7/if5+e5H74CnKy16g+M5FxIW4YaiVEzZlvoC5lRl/Fj0Fg0YGIOrqt4Xkc7aMRU8rDyRcVmeReUldNnZPHomhDgsQfSkTB+aOg5vvciQUKz/nLKL8SeNH1OJZyiwM/qs1lp2twneH9hYevPzxjvY45vP/8M+BrpizYDGCgxZj8awp8LIfDif/NUjME1NMJxMtTEV7gri/xwO9e9ojLuPTt0t91F1GhN8IWA/xxebYGGyZOhpufsE4pu5ir+qkpQolh33Q56chCLn0x7KoPeQMMSDwMIpe17XGuYhWX3kPyfOHo9/IJTj9zLw2cW0L4j2yQ0bh1/5eSPx6OaUm6i5h56TRGDs1AgXc/9w9gZT4BJx5In7WUoeaqjd4231L03WQerw8twS2f/kZ/tHP8P3QvhY0NTWLfUXrox7HfMUeYk4SXn0xnzTheaQ7/vk/Dth683Ub/5A6eXnEH4NHBSI658v015a3Z7Ha/jcME8vDnDIVS/zdFez2GQPHGVH42g2r5koUdm7eirh7SofGD6l/kY6Vw/+CXhO242blV5uI91UovZWBzLxyvFOmjx7hY/+E3733oKCkXCbaMFOuvDgb+6bYwGpsCDJfms9w1FRfhVs7XNDL2hNhaXc/vZ6Ksns4tc4VI0b4YdfF599fS6qBlkbxAaYgZJw1hk3cjPNK4tObV+Uou3Mca70c4b04Bg90mfs1WmmpRlHiQtj91hsTguOR+6QMFfI7UYL8k7sQNGMxjhRUfhr0e4zpKdQz2Bmz5i+QpmTLFs7BLF8P+M/djJN3xC+azXrpA4ozIhDk0hO/9hoCT//ZWL5sMZYsmIPZfj4ImLcRibml6r6ce3sPGTv9Yct7iCHjEbBwKVYsWYjFMyfBdfDf8XcrD2w48UTbVHeU5ircT12HafYDMHikM6ZM9YOfpwt8Zm1CSr6YHT7fVDMeXqZOKmmTNNytqa5BXcN7s3vjm5saUPcxFfSr11Pb0KT+1/OhGU0NteL5fvUaxGuqeluJtzX1EMtdjc7w4T3qq8vw+PYNXLuWi3tiRVRd9+6bjbYW3Keh8RmaIDQ0PkMThIbGZ2iC0ND4BPD/Aa3F3NcsPsOTAAAAAElFTkSuQmCC)
In the given figure, AD BC
and AE is the bisector of
BAC Then
DAE is
![](data:image/png;base64,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)
maths-General
maths-
In the given figure, XY is parallel to PQ, then the measures of the angles x0 and y0 are
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOIAAAC+CAYAAAAoXNNbAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AADm+SURBVHhe7Z0HWJRH1/ff7+1vnudJj0lMb2rUxBhLjD323nvvimDBCooFQUERRAFFAREpiiggSC/SBBEVkN6b9N47/2/OsCixYpSwq/O7rrlY7ntZYHf+M+fMzDnn3yAQCDocIUSBQAoQQhQIpAAhRIFAChBCFAikACFEgUAKEEIUCKQAIUSBQAoQQhQIpAAhRIFAChBCFAikACFEgUAKEEIUCKQAIUSBQAoQQhS8HE2NaJI8BBrQ0FCP+vp6NDRKLgnahBCi4KVoKExCpLc1Lpqbw9rBAz6+vrgR4ANf5wswt3SEa8h91EqeK3g6QoiCl6IuJwweGnMwe/RQTNp8GpbWtrh2xRJWhipQWLQGiuo2CK8CxAT5bIQQBS9HYwNyrqlCXWEp5M3TUFhaifL4e0jIykSEly1crS7AJRNiVnwOQoiCl6bYUxNaW1djs3UacjJiEWRwFFb+kYirrUJNWQlK65grKXmu4MkIIQpemiJPLRxePQHTtx6HgY46dkxdgP0XAxApuS94PkKIgpem0OMIDq+bjgVqzD90dMBlTS1Y+EYhmd1rqK9ESWElGhrFnPgshBAFL02p9xHo7JTDtqsVkgs5KKxqRG11IuJuucPBPxeVdUKIz0IIUfBSNFYVINZ8IzbPn4L5Wv64l5CC9LRkJMeGwd9EBRp7VaHjU4LKeskPCJ6IEKLgpahNvwFHjcVYMHkC5mw8DINTp3HuzAnoHZDDkvEzsUrpHHzLmsT2xXMQQhS8FE01pSjKTkVKUhJS0jORnZ2N3OxMZKYnIj4mEalZJaiWPFfwdIQQBQIpQAhRIJAChBAFAilACFHwlykpKUFNTY3kO8HLIIQoeGFq6+oQGXEPFyzNkZycJLkqeBmEEAUvRHV1NWxtbDBr+hRsUpBDfHyc5I7gZRBCFLSZ9LQ0aB/RxIA+vfFV54+huFGBXxO8PEKIgjYR4OcHxQ3y6Nn1e7z1X/+OH776ApqH1JGXlyt5huBlEEIUPJOiwkLYXbmM6ZMn4bNOH+CTD97Fx++/g+4/fAfDk/ooLS2RPFPwMgghCp5IVVUloiIjcETjEHr/1J2L74tPPuImaaf33sZP3brgopWlWDV9RQghCh6jsbEREffCsXXTBm6K0kz4+ccf4stPO3EhfvTuv9Creze4OjujSQRVvBKEEAWPUVZaipBbwTA5cxrbFDdh/OgR6PLNl+j80ft8Vvzg7bfQu2d33AwKlPyE4GURQhQ8Ri0zN4uLipCfn4+01FTmCxqgX++f8Y///g8mwn/gnf/7b/Tt9ROio6MkPyF4WYQQBc+EfMC9Krvw26+9sHbVCuzctoWZqz/g9359kJgQL3mW4GURQhQ8lfq6ejhctef+4OL5c5GenoYiNlMePayJ1SuWITWVkmEIXgVCiIKnkhAfj4VzZ6PPzz1w1c5WchXcZHVzdeGiFLwahBAFT4RMUqPTp/iq6fYtm5GZeV9ypxlKq98klkxfGUKIgidyMygIY0YMx+AB/XAz8Abf0hC0H0KIgscoLCzEPpXd6N7lOxzRPITKCkl2NkG7IYQoeIxrDg58lXTqxPFITEyQXBW0J0KIgj+Rm5uLlUsXowebDc+dNZFcFbQ3QoiCB9DiCy3Q/PxjF6xbtQL5eXmSO4L2RghR8IDEhARujv7etzccr9pLrgr+DoQQBZyKigocUj+Art9+hb27lVFZWSm5I/g7EEIUcJM0KPAGhg8agAljRorD3B2AEKKAL9BsUliPH7//FmcMT4nZsAMQQnzDqa2rxZXLNnyBZuG8OUhKElnZOgIhxDccisJfOG82+v/aC06ODmhoaJDcEfydCCG+wdCxNf0Tx/HjD99iy6YNyBPbFR2GEOIbTECAPz9POmzQANy6FSzq3HcgQohvKOUV5VDeuQ3d2WyoeUgNdXV1kjuCjkAI8Q3lmuNV9O3VEzOmTBTnSaUAIcQ3kNycHCxdOB89u/0AM1NxnlQaEEJ8w6itrcVZ4zPo3eNHbJRfh/v3/xzwK+gYOlyITU2NfPWusamJn/BooseNDx83SB43NjY0X5f8nOCvERsTgwljRuH3vr/C1dlJclXwbFr6X+PDPtpAfbb5XpPkXnNr4H32RelwIVbmJSMuxAcBAQEIZC3oxg0ER2UiPz8PRalhCGbXbvj54YZ/AO4m5qFQJJb+yxQWFODwQXV0++5rHDygivKycskdwbNoqC1CZuRN3Lrhx/rpDQT6+SL4bjRSShpR31iNoqRQhAb6IsDfF/6Bt3EnoQC19S8mxg4XYkmCD64eWY3VU4dh7JhxmLF6N47YhCEtIw3ZN4xwdNMcTB09EQvlduOkezxSRbD4X8b3ujcG/dYX48eMxN07tyVX20BdCQrupyEzpxgVjy6uVhciPzMHBRWPdrxG1JSVoLi4ArJ+RKC+MgOhV7RxcNVUTBs9CjMXrYeqiQsC7jehrrEMaX4XYaK0AMvmTseCLXow9UxEZa2MCbG6IBH33ExgsGUC/vj6bXz04zRstIhGSX0pMhz2QWHcQIxZuBOapvbwjc1HsVhl/0tkZ2cxn1AOXdlseNbECJUVzztPWovKjBB4216AjfUl2No5wz88FTnVktv1hUj1t4eDzUVctrdhz7GDo08sCrnqapAT4Qe/axdhc9UdXsFJKKyT3Zw3TWwgygz3hNORORj/3bv4ut9CKF+JQ1opDTe1KLnvD3P5CZg9bjrkz/rgFpsR6xpkTIgtNBXchpvGIkz7fRhmK52GtasjbE7sw351YzjFV6Je8jzBi0PH1iwtzuOn7l2xeMFcZD13gaYGxUl+cDXYD3VNXRhaOcIzIBRx9wvZAMlu15WiINQSRxU3Yd8xSzh4OuKKrgp2bz0I87t5KKlOgqeRAc4zwVuw36t/xAy3SqpZl5VxygNgpTAMgwYtxPbL99EyJqEyAOf3KmOfpj2i/+J4IzVCJBpLQuF+YCrG/NIFX30zAPMUj8M+9cUdX8GfiYmO4vlJB/Ttzc+TUirEZ1IdCo/TKti4Rh2XQpKQkpmBzLxSVEp+rDE7BH5a8zFvhxWco5t9hYY4B9irL8PiQ+6IzwiHn+0VODn7IPi6G64YWiKYCbGKP1OWqUGq3U6sHtwXI1YZ4Qb715vY8FLqsg+7VY5C2zVL8rwXR6qEyDxG5HqrYcv4H9H57e8xYoU27FIaxErpS0CrfNpHDqPrt1/z86Tl5c9foKm9fRr6yksxY+sZWJ8/CyujY9A1uIBrt9JRxkyuslgnmK0bgdUngnC7QPJD5bcRaLwJ85bqIzYxGzWp/nA9fwx6xjZwCMpAaf3rseLdlOeG8wrDMej3hdjvyXzj0li47pWDqq4NfIr/+n8oPUJsKkLOrfM4prwDmnp60FJailm/D2adwRSe6bUy7/B3FBTwO3r4UIwaPgTBN4MkV59NzjVV7Jz2G0bKGcL+diJSkyNw02QHtm3XgMn1VBRH2OLU0rHYZhaOiDLJD9VH4raVMpZPV0VcbB6bNstRlJ2ClIxcFMr+VNiKSsRfYrPisEGYIG8Ib09dKO/QhqFDDLvz15ESIWYj2ccYx/aqQtvUE2HZhShk5o+D2iJMZz7jXGVzeGWIVZoXpaqqimfp7vb9Nzw/aV19297DtCvK2DJjBOZq+CJR4gg1JRlh39LlUDvkyGdE49XjsIUJ8V5p833UhOOW+U4snnUIMSTE15i6DGdY7xiP/l2HYNHcKVip7w2f9JfbV+tgIeYh5aYtzFUWY8GQrvix/2LstU9CPs3wVfEIPLkE47/8L/zjne8xdJESDtsEIjJLbCS2Bdpcdna6hl9/6oHZM6YhPi5Wcuf5lHodhOr6JVh6Mv7hAku1M46tWQ7VbVaozQqEy75pWHL4OoJaSujn+8JbZxlmbryI6LTXPcI/HykuB7Dil2/Qrc8iaHqlosVC/6t0sBDTEOF4DKqLZ2L+7LlYtXk/dOwikU7+P5sRrxvvwrZ1i7F03izMn7sUClr28E8SaRzawv2MDCxZMI9XcrKysJBcbSP3PWGrsx1rt5yC6904JCREIezyXmxetRmaJmFskLyPNJeDUNxyGKdsgxEVE4kwW13o7tyIvbbxyGwxV19jKmIcYLp6KCZutoR36sv3yQ43TZuPrzUfHXo6dMztec8RtEAFZM6dNebpLzZvkOfFRl+MWuTetcOFg0pQ0zPBuXP6OLJjM/afsIVfRvMzGkqj4HtaFZqax2BwWg8nNDRw2NADUWUNeP2rZDSg4M4VnN0uBy23FKS/Ah9YehZrXgAhyGcTevcuz8b2e79f4e3l+dfer4YaVBdl435SDKIjYxCXkoWC8ho89DIbUV9RgLy0eMTFsFkzNQ9FFXWv5Qp3U0MtqspKUVZRjeraWtSW3EbABS0oq1xEcFblKxl4ZE6IJcXFoi7fMygoKMAhtQPo0eV7aB5URzF7v16ORjQ859wkM1ZeY+pRlu6Oc5sWYMXa3Thqag4zvf1Q26eFc0EFKPsLB7yfhEwIMTsrE07XHLFnlxJPCZ+TnS25I3gUDzc3DGQz4YTRIxEVGSm5KngW6WlpuBHgz/zqdMmV1jSipjACvqd2QXmjIpQP6uK02RW4BMYg5xUe95JaIVLdBT8fHx47t01xE8aMGIbPO33IowZEWocnQ+dJFeTW8vykJkanxfvURlKSk3HsqBY2ycvB+Mxp3Aq+iapHc7vWFCAzPgx370QiKa/6lfvBUiNE8mOoJHRExD1cu3oV6qr7MWnsaHz92Sf46J1/otO7/8JXnT/G6ZMGPD18aUlJcytltjtr5WVl/NRIBTV2n2r6UaLcqipqVaiuZvY9a7SQUUuN2frUUanV11OrR0MDtdaxZZL4MxnxSc3OmqBf759Zh1qP6poHJyEFbcD83Dl8/vGH+LJzJ8yZORX6J3Th5+vLZstUNLB+0N5IhRBJIHdu38YRjUOYMnEcr7/wWacP8MUnH/E3p+UriXHx/DkwNTGGIROkoYE+Tp8ywJlTJ5nJashHMxOjMzBhs6ipsRHOsedR5zx/zhTnzUxhbnYOFufNYHn+PKwszHHBygIXrSxhfcEKNtYXcfmSNa7YXILtFRvY2V6Gve0VONjb8YIs1xyuwvmaA5ydHOHifA2uLs68jjyZgl4e7vD29OALI9e9veBz3ZvP5gE8jtIPgczsCQy8gaDAQAQHBSEkOBi3b93C7ZBb/P++e/cOwkLvIjwsDPfCwxFx7x4i2YAUHRWJmOhoHswbFxvb3OJiER8Xx1tCPLV4XjyGXnPuzOn4qdsPOKGrg6SkRCQlNrdk9jg5KQnJyc2NZgBqqSkpSE39c6MV1jTW+dKYuUYmW0Z6+p8bM98yMjL49sj9+xnIvH+/uWVmIosacyOav2Yxl4I1NktTI3fiQcvJ4ek6eMvNRV5Ly8vllhBv+dTyUUCtgFoBj6csLKRWyFsRtaIi3oqpMX+YGq0jlJRQK+GtZcDmgzYturBBm1rz4F3GZz9HNvj/0uNHfPrhe7yvUev/6y/YzqwxOp9L7wf9THsNylIhxKTEBKixGXDI7/35DNjpvbd5++yj9/Hlp534TEiNBNnvl5/4iuBoZqrSsa1RwwZj5NDB+GPIIAwf/DuGDfodQwf+xl9ryIB+GNS/Lwb278NXEAf06c0T6dKsQa/Ttxdr9PWRRvceNnqupNHPPdL689brYWOv/6T2G/tQ/9T6PLnR3/ig9X28UWT9IPb/UEntIb//hqGDBrD/eyD/W+i9+u7Lz/i18cxHHDNyOE+XOHbkHxg3egTGjxmFiWNZGzcak8ePxTh2fQR778aNGoHpkydixpRJmDl1EmZNn8JmhRmYN3smFsxhbe5sLGIDIA2Ci+axNn8ulixcgOVLFmPl0iVYtXwJVq9YhjUrlmLN8qX88dpVK7BuzSqsX7Ma8utWQ2Eta+vWcNN5w3o5bgZuVlgPxY0K2MLa1k0buAuyfYsidmxVhNK2LVDavhVKO7Zh187tUFHeCZVdStizS5kXydmnsguqe1VwYN8eqO3fyy0odea2kOuioX4Ahw+p47DGQd60NDVw9LAmtLUOQ+foERzT1oKuzlEcP6bNBy0TNoBv2bgB337emU8AJEISJD2m9/Pn7l0xZcJY/hqRERHtkoRZKoRIJmUUG/0vWJpDjn149I+TEDszIZL4WtqvP3fHQTVV+PpcZ7OSEx+pyIylWcve7grsrlzm6eNpdrt08QKf6S5YWsDK/DyfCWlmNDM9y2ZKE+Z7GvEZ1JjNpGcMT/KZ1fCkPk4Z6OGk3gkYnDgOvePH+AdFH5iu9lHuR9AHefSIJrQOa/BjY4cPHYQm+9A1Dqrxv039wH4+qFDnoI6yf89u7GWdZu/uXbwTUYeijqXMOhh1tJ3bWNu6hR9F27p5I7Zs2sg7p+IGeWzesJ7HEFLnlV/HGuvM69eyzs0avU9yrJPT1wVzZuH7rz7Hv/73v9Dlmy+Z2EZj7crlXAyrli3BiqWLmWgWYvnihVi2aAGWLprPHi/CsIED8B37ORqs6DUWM4HR1/lzZmMBe7xw7nTMmjQWkydMxOzZs5ggZ2LujKlMqNSmYTZ/PAUzp03BrCnjMW38KCb2cez5EzBj8nhMZqKfMGoUJk1gj5n4J7KBgNJ00EA6nomfBgAaJMayQZXWAMb8MUxyLnYoRrIBdsTQQbz9MWQgH2yotQy0LYMtDUjUBvXvh4H9+vDGB13JwEWVj2ngo0GSD56SwbbPzz14+5W1vmyQpcKs1MceHfg/fv8dvPuP/8WH7/yDz5i0Ek0WwatGqhZraKQhc4tWSDVZx542aQK+/aIz3vsnvRH/5GYXie3FafbzKOdNi+9Hv4v8QmrNvmIt9xtra2uYH9nsT5JvSY18TQqkJd+zoqKcmzPN5g2ZO83mDzUyi1pMJTKbyJQis4pMLG5qMZOLTDAyycg8IzMtmxoz4ciky8xsNvPI5CPTj8zAdGYOkllEJiM3JVlLSUluNjHZ1+jISD6bUL17GrVnTZvMOkw3NhutZCazBzM3U7kZS2YuPZdGdDJ7KdU+DRrUyWlwuBMSgvDQUITeuYO7oX5wNdfGgfWroKDAZq+VMzBzphyUdC7B43YQM68D4Ot6GgeWT8PMEUMxbvwYjBs+CJNnLsG2ky5w9nTBRa3dUN3KZr8tStihchwXXZj5zkx3MuHp7/J0d4eHuxvc3Vzhzkx8MvPdmLlPeXRcnJyYG3CNNcfmwZY1R+YakItAg+5Ve1tctbPlrgP1B1tqbAAmt+KyjTV3MVoG40tsMKYB+aIVG5SZK0KDPbkllmxwtmSDMx+gmctC7wUJlIRIM+InH7yLd976HzYZvMctLxogqUBPAHM1Xn5L6HGkSoitoQ5PvtZxZkKsXr6Mm5ckRjJL6J6gmXvhYXz2GM9MT/JbPT3c+IxHKTHoVA0tyz8N8rFHDhvCO+efqEtGnM8FGBnbwtnDEz4upji4Yj62aNrgRstbX3Edhrv249hBXZhbnsd549OwvOyC4By6mQ1fi/NMKFfh7uIIc31rREh5+Iy/ny+3Jt76z//HRUgz61JmflPNSBoMyD9uT6RWiK2h2cDS3Iz5IMu4aUgLAwLgPuscZMb26dWTm9m0IkwkJMRzk3g0M/VmTp3MF7YoOJgsgRZocWM18+fIFAy+eVNyVUJ2BBIjQnHnQRDFfbjtnYUNW4/API6+L0Z5jj2OaVjBzS2czeaUs6aV0hoS4HnpMuvAbvB1d8YVU1vcLat5GNEuZdDCjoHecWbuDuB+sqKCPF/oS0pIlDyj/ZEJIbZAHall9etNh8xpkzOG3CSl2oaPjthketOKLOUuJZ973qwZ3OyjTkfmthHzi2kRiRZFHquHSFs27EsjHe3Ki0OMzxnsX6OAA4buiOab2KWoyLLFid0HcWTfUTYIGMLEwh5uIUnIq2pAA/v5ikR/eF9k/vY5dj2sAOyy1EKRKRZsoCeLglZnO2K7SqaE2IKs7Ou1J7TpPGHsKG6y0/bI08jJzuGLT3xFmTVaVTxnepabsnNmTMOtZwQLNxQnIOSyPk4d2IwNG9Vg4BiODJ4UqQZ1pVEIdnWHl5sPggKuwerwZmxeKYf9V2KQTbpurEFVGfOVS8pR9QpPoLQHtK9Mfv9zU4i0IzIpxDcdykd6UHU/X+k7eGA/70TPgvbLvDw9sGblCr7gRYs5Y0f9wRc/Wpurj1FfjsKMRCTHReK2uQr2qOnipBd3AhlNaKSFLTokUV2KghhbWKstx5y1JohLLZE8R9BWhBBlEFdnZ76fSHuCtMHfVuhwwJ7dyuj2/dfo8u1X/ABFbm6LsFqoRVqAA1zsXXC7tZ58dkJ++SrInUkGKjJ5Lk9rv2RkPojTjkGEpSJmzNdFZHyh5JqgrQghyhh0+mTNyuV8NqQFmheFtlZo6Z58Rtpnk1+3hi/JPzT365HmcgxHN6/CNn03+N8JRViwGy4fYCLcpgXj4GImxBQkXNqBtWtUcMTcC8FhdxDseAqnVHdA+UwgMkQ69hdGCFHGoOpNvXv+yE+wZLd19bipAY10jlbyLREdHcUPFVBpNtpkp701OorGKY9BkM0JaB08BhNLK1w0PQbNA8dg5hKJTK7XGlSn+8P2mBqOaJ/EOWtLnNPXhYGRPYKz69hdwYsihChDpCQlYtrk8fy0iIOdreTqs2hCU00J8pIiEH43HDHpRahspUY6IE97iOQv9uvdi5/8oY1+OtRA4T+1FfnITktGcnouCivraDH1TzQ1VqM8PwPpqenILChHzSuKzXsTEUKUEWjBhc5MUr17Ekxb8pOSmVkSeBGXLYxw7PhpWBiZwSmpBq3LVNDe453bIfysJZ2npdNMDg6OD8N8qFqX5OHTaBICfGmEEGUEiq6gs5Z0JvOG/9O3K/5MNRKtjsPS3hmu/i7wMTsKA/8y5D/BdqRwH9V9e3gp7zkzpyPk1i3JHcHfgRCiDJCXl8cjE7p+8xVO6evxM6+c2iJk37GFuZ4WtPUs4RFJWw1BcDc+Bj2jK/COLcL9O17wdrCC2Xlz2F2+Cp/U2ifu68XFxmDtquXo0fU7KG3fxs+0NtMkqQNINNerFLx6hBClHNpktre1Re+e3TF/9gwee/gALkRrGCvPwqjBs6BkfBH29megtmwFlI5fgld8GWrri5EZ7oVrV9zhF54FiYQfQPuI1708sXjBPB6GRdsbCfEtv6MR9YWxCHO/CDPj87hwxQnXA/wR4OcNHw8nOLnfQlx+LT+FI3g5hBClHJqpqN49xU5etbN7cJ70IY2oy/CG1d712CIvh+2HjXD2aijut6H0Eh0EoIiFyePG8EPiusd0eNTIQ+pRlx0En+NLMG7gRMzZcAQXHO1ge8EEZ0+oQXXHThw08kTwfdmvgdjRCCFKMfV1dTxlA1X43bB+LQ+rejJVKPLTgcr0IRi7WB1mkVXPLWNHYVxGZwwx+Ld+GPPHUFyyvvD4mVOisRiVIUewfuFWqBgFoaiBQsfqUFedj2x/HWxbuAY7T3ghQaTHeSmEEKUYKmNOkfbDBg1AIHv8GLSiWVuCkng3XDIyhYXBfhxSksPa7cbwSK5AZUPz4e1HoRhJCmim/chZ06bwGMHHZ9oWylEfrovNy5Rx4NzdP5u2NbGw2z4Vq9arwzRCGKgvgxCilEKByXuUlXhGNgpapaDlR2koS0Go9QGoLJ6JZaqXcSM+HCHn5DGr988YtUwNhtfTUPCIvlJSU7BzmyJ+6tYFK5cu5rlznnnetKkUNXd1sHHpTuw/G4I/x71UI0x3DpYvlYOqy6sPln2TEEKUUihkidI60L5efDwPAnyMRmYepgU7ws78Ipxup6Gwvh5VqTfhdeEMTMwd4BNTgPJWNipF4VM+mZ9/7MprJVJSqufyTCGWI0RrBpYuUYC626PLQIIXQQhRCqHtCsoz07PrD7ze/ctCK68ebq487ImqQ6nt38dTcrSNKjRF6WHLit1QN7/XKuU+o9Abp1ZOwpINVNlZck3wlxBClDIo4JdSP/bq0Y0nhqIUhy8D5dWh/C0Uf0ixiyf19Z4bNvUQ5oNWJCPl6jbMHbcE69QvIzQxAYnxMYiNDIS/xW5sXKMCrUuheDSGQ/BiCCFKGbEx0Zg8YSwG9PmFJ096GSgdxqmT+nxrglInUoIlEnrbqUVNhi+cjq7FvCkLsFxRDafOGsPk1HHoaali3x4tnHWPRnqVWKh5WYQQpQgKUTp6WAM9u/0AddV97Pu/HteXk52FA/v2MlOUDgLMhI+3t+Qw94vQhKbacpTkZeJ+egYys3KaM9LlUSa6LGRlF6KsVojwVSCEKEX4+/nxpMiUFJgOYv9VaBGmJVcNJfe9e+eOSC8i5QghSgmU23Sr4iZ0+/ZrnvCYEjz9FW4GBfKs3L16dMVupZ1ITIiX3BFIM0KIT6OmFCUl5c8Icm1ATXkpymueMNM0SIrcSL5tC1SDgzbYF82d/ZTyYM+GfD9KzDtl4niewZqykZMZKZANhBAfob48H7kJYQgP8Yevlzs8vW8iPLUApQ/24+pRV5iI2DsB8Lt+Hb4+N3AnJg35EtU1lWYg5V4Q/H2CcDc2E0VMqM+L56OCMQuZAElAFPBLR8hehJLiEi7kUcOGYGD/vjA1NkZN9Yv6g4KORAixNfUFSPS/DIsT+jCzvYZrNqehu2kp5PebwT6qmgKC0FAUhSAjJezaexQnLS/D2mA/1FXUcfpGPoqrq1HkZQRzM2McP24AC0Mj2MbXofIZSqT8ozpHtdD1u6+waYP8C2cxp/T9erq6D4qTUkr6Z56UEUglQoitSXWAk/V5nHJIQV5xKcpKspHndxiKK7ZC6UwoKpCPDD997FiwBbqOd5FUVILiLA9c1d2OtZvN4ZeSgygmXhtXH/gGOsHHUg9nblaj5BmRELeCg7mAqL6Cn5+P5GrboJjB3co7eaZvCmOixZ4nHYUTSD9CiK2JsYe3mzscWq9vpBlDaYkcFLSDUFIZiRAjOUxcYgCn2JZN8VxE2mtg07QNMAxiZmlsIPyumuH0KRNcsvfCnfwG1D1lgqququYVoageJFWTepHiouHhYbwEQe+fuvM0F1RfUSC7CCG2piQT+bm5zZmqiab7iDi9FitX74X29TzU5vrD+/BCjN9+Gf7JLaua1Ujy1MeBWbOh6pyOrNpy5MWFwP96CMKTi5+6YEMmKR07oyxqVJMwJipacuf5kG86e/pULkIq//Ywml4gqwghPo3yVIQ76OPQxk3QuBAE5iIC969zIU7caYfAlIdCTOZCnIX9TIhpbYyQpdJrK5Ysws/du/DSYG2BQpWoPBnVFqRafxSrWFxcJLkrkGWEEB+DmZKlKYi+fgmmWtowdo1Bcn4V6qoqUVN4ByHG8pi62hge8S3RBrmIItN0ihxO3cpFQRv2zVvOk1L6e4X1a5HShhmNTt1Q6XEqLjr09994HtL6ehEX/7oghNiaunKUJnjCXm83lHYegal7KGLS7yPc2QV+QfeQ05SHtICTzGdUhqHbPaSXlKI0yxMOejuxWt4UAVmVPGVEQW4O36An8/NRmpoa+amZKePH8kPYVP34eVBN+mM62jwzN6W1oIKeT3ptgewihNiKxiQHWCjPwKh+/TBy/BTMX7IUa1fOw+RZ23Dk4h2UUTKl4jgEm+zG7t0a0DU6CxPt3di/5wjO3shHOa+UBF7Flsp8UwXeR6HN+l07d/CimFRam0zUZ0G1Dqm0N62Mrli6CDeDgnhYk+D1QgixFU2lyYgL9mIzjgf8Avzgd90D3h5XYWHjgRvh9yUb88x0zY/FvWB/+F73YTNaAEKiUh9s6BMpycm8dj/V3Q+8EfCnc55U+58ydVNtdvpKtQWpZuGTCAm+yWve9/mpB6+xT1m4Ba8nQohtoglNTzjt0kjH2J7iE9LxMtpcP2Wgj+ve3qhvqEcmm/1oFhzQpzef5eZMn8p8vt+gd/wY8vIflOflUH35aRPH8+xtGuoHeAJgweuLEGI7Qnlnrnt7wdTEmBcTpZT5X3/2CaYygSXExSHkVjDmzJiKwb/1hb2klkVVVSVsLl3EiGGD+WkZ49OGKC0TFZJfd4QQ25kGNhNGRtyD1mENHqD7wb/e4iufly9Zc1/Pz/c6/55q4Wcw/9HUxAiD+vflte0pkLex4UmnARpQX12BimqxYPO6IITYjtDKJu39pSQlYcc2RZ7O/rsvP8NXnT/G6D+GIi212dzcILcWI4YMggL72r/3z3yz3s/H58lnRhurUZYZiVB/L/gERSKpoBp1Ig2+zCOE2I7QIg0VFj2wfy8/BfMtE2GXb7/Ee//8P14+28+3+Wwp5Rjt/NH76NmtC89Tcy88jG9zPE4jmpIdccn4JHT0zuC8iQG0DZwRWVD13AgPgXQjhNjOZGdnY/6cmfis0/v46N1/8faP//53vplPvqM7z642FR9/8D4U5OWRkf6sWMR6FDtpQs/QAlZRmUjwd4TxrkNwTM2DyCoq2wghtiOUMp+ERidhaIX0iOYhHNY4yLciNiqsx4b167gvOHrkCGgqr4eX9Un4+vrB08sdLn5RSCsqYWZoNEJc7eHi6gYXn3CkeRnj0lk2E561gMWZ0ziuZY7AnNLHissIZAshxHYkJSkZy5csZGboj3xxpoX4uFioKCuhT6+f8MeQgThndh5V2THIDTqHwxvnYdbcDdh9zh9xhUUoue+NK0cVsX7tXuha30R+ThziA+xhflwbZ8wu4MqNDJSIBE4yjxBiO1FbU8sj5Sll/vq1q5Gdk82vU2Y2QwN9/N7vV0wePxbO166hvuW4WnEEAg1WYvKwpVB3ikUuXau6jeDLmth5wBGhWRXCF3xNEUJsJyjgd+qEcRg8oB8/XUNkZ2fxsCU6rrZk4TwEBwU9sjJah+LYK9BdMBor1B3gV9SA+ntXcU3vEAxvFqNInGx7bRFCbAdqqqt54Rgqg31QTZVX+KVjb+QTft7pQ8ydOZ0nEn5iisPKFEQbr8KceXth4OYJX1crGByxRgRzAsVs+PoihNgOeLi5cdNz2qTxzB+MQ1DgDSxbvIAXf/nkg3cxe/oUvnn/RJpqUZtiA7V5syG/ZA626ZlB/1rWM7LJCV4HhBBfMQX5+cwnXMXLYBvoneCnY6ZPnshNVP3jurw0Ni3QGJ02fHru0qYchOmtwOJBgzBznw38nlafVPDaIFNCpIDa3NxclJZK79lLS/Pz/CjbvNkzcGDfHowYOghjRwxrjsJnlmjo3buYOWUSj86nzf6n0XRDHUryO7D9bBReLK+bQBaReiGS+HJysnEvPBznzc7x/J3paWmSu9JFemoq5s6Yhp9+7MLFN2RAf26Gerq7PQjkTU5Kgvza1TzdRetYxKbaClSUFKOksg6NdYXIuKaD02YOcI4T50nbG7JiqEwBLaZ1VKynVAqRVhIrKyp4DT9np2vYtXM7L1/99eefQvOgmlSmDCwvL4ee7jH06t4VP3zzBT8zum7VCn5crTVZWZn8gPfIoYP/XKMwPxL3PG1xxeM2YqKu49IpMzj4xUBkpGl/wsPCoKK8kx+0oHjR3NwcHjnzdyJ1QiwpLoaPtxf279mN6ZMmoP+vvXi6QVrk6NzpA+5bSSN379zmvl/nD99Hz67fQ2WXEs/g/SgxMdFYzszSiWNH83QaDyhLRJTzSRxVOwSdk1ZwDE5BbrXYr/g7qKyshB7z37t8/QX6/NyTuRUzcUJXBzHRT1nZbgekQoj5eXlwc3Hh8XrkO43+Yxi6d/kOH7/3Nj54+y0uws8//pBHLaxavoQXaaFNccOT+jh96iT7/hSMT7N25jRMjM7grLERzp01Zs0E58+Z8kaJl8hPo6RLFD1PJq71BSvWLvBCnldsrFm7BNsrl3mqC3vbK7hqZwfHq/a45mAPJ0cHOF1z5BvwVFbbzdWFNVeec+aS9QW+KvrlJx/xQYP+B/o9wcE3+R7iDX8/BAYE4A4Tq7bWYe5DLl+8EN5eHsxnvMNz2Ny95Q9/Z2tcNDWBmeVVeAWHITImCtER93hkfnRUFBdxXGwsX4mleMaE+HgkJiZwczclJZmnVUxLTeFBxHRmlUxfyndDs3AWEz2de6XM4OSbkjlWUECtAIWFhbyWImUKKCst4cVNy8rK+CxPlgktKtVUVaOmhrXa5roedHyPzG0K0yILpokcYBkm+GYQP5j/7j/+h/e3X3/ugRlTJnJrjD77QvY+tSdSIcQc1kHOmRhj/OiR+L//+Df8+7/9Gz58+x/4gnVsEh+1Lz/txNNLDP6tHy9rvWjeHF4vYuE8SWv9+JG2YM4s3vhzJG1Bq8cL5z6896frc1rusZ+X3FvArjW35ms0MEydOI5/eBRV8VO3Lpg3czpP/tv8epLfzX6G0l5QAqjPP/6Ahz3NmzWDV25qfq25WLxoEXu9pVi1bCGWzme/eza7zhrVN5zPnkPtwfctbU5za/kfW1+n303vE/2ORfPZ6y+Yxw8S0N9BAwHNzDRo0Pu5atkSrGa/e83KZawtx9qVK7hpLbd6FT8ZRH6tvNwaHqpF+6Eb18thk8J6bFaQx+YN8tzcprr8WzdvxDbFTdzM275FETu3bWFtK5R2bIXyju28Y+9W2sFNQTrmt3e3Mmu7sFdlF/ap7Mb+vSpQ3buHR6yoqe6Duup+HDywH4fUVHmmAnJNNA+p84iVIxqH+OBNNSW1jxzmg5zO0SM4pq2F4zraOH5Mm89slAGBZjwDveM4qXcCp/T1JAO5AR/IKV0JWWBUe4T6GQ361Nfeeet/eB8cO3I4+//k+c/4Xr/OB65XjVQIsbamhpkBUXzWog+TMpX1YObdR+/8kwvy0w/f428IRbcrbtiAq/a2uHzpIi5dvCCZ1Sz5LEezkKXFeViam/HXopnQjM0wJHIKuKWZkmZMmjlpFqWZ9Qz7IOgNPmmgh5P6J6B/4jjfZqAP78QxHejqHOUfLNWn0NE6wj9wCvKlTkDfU6ekSAravKcOe0hdjXUSdV5olFZNqWNRB6POtoeZq9QJqdFj5R3bsHP7Vp42Y8dWRWzfupl3YnoPqGMrblDgHX2jvBw2UGMiUFi3mv8euTWrsY6JhFJvkHBWM+GTkFYyQZGwSGAktmXUmPCWLprPRbiEiXExiZI1PpjRYMUHGBJ6s4hpgJg7azo/eEB19yk6hGIkZ02bwtpkzJxKbRKfMWhrZhpzIWjPlDIP0KA0ZcI4fnxvEvscJ40bzc3wiWNHYcKYkXywHTdqhKT9wTv5mBHDuBVEbeyI4fwav9fqeVR6nBp/Dd5GYeKY5tedxF6f/x7++8bw3z1lfPPfwRv7m+jvor+x+W9ljf3d9LdPZ/8D/d8jmM9OAmw9+NPjj979J976z//HRPnfGDV8KM4aGTGr4umr3X8VqfMRyewhM4FGQ/IRKZHut190xodMlGT6mZmelTyz4yGTjEbUHl1/gIL8epRVtLU2/d8P+Tr095I52VBfz01Leq8pcJlS/1cxP4nMUDoFRDX2aYuopKQExcxnp5yqRWwWIHOW3AgybWkbiSwZ8nMzmflLZjBlqMtIT+MBz6ms0WmiZOYnJ1Hd/YQExMfH8QPvtEIZy/wv8sGioiJ5BoOIe+G8jAAtnISFhj4w2W+HhPCUIpRI6xbrF1T/MTDwRrPJH+CPAD9f+Pv6chfB57o3T01y3csTXh4e8PRw59nU3cmNYK6Pq7MzX/yjkujXHK5yt8Pxqh3c3V1Zf9vP+xnFhVKjcDX6SgPs0IG/8cP7NICTG8DeTMm7+uqQOiG2QKtW9MFeYv7butUreQnqLzt34mFE0rJqGsp8vllsdhj+e1842lxERloacnLzkZvHOmwB67wlZaioqnmhOomCp8A6Pw0mT27NfuqTGh94ntjYYEQDEmv0Pa0T/PDNl8wkfRvffP4pT3dJIWpk2VC+IVpEpH5Hv689kFohtkCCzMy8D3828pGvoHVYk5uxHQ3VMCS/puePXaEkNwMOOhuxcfZybFY7DsML1rhkYYIzR1WhpqKK4w6RSCuT7cWM1xlajKKtJzJFu37zFVYy0/4Cc3NogYwWadpLfK2ReiG2hkwiSrjb3itYbcHTww2/9e2NqVOmIi7SGZHX1LD6t0nYqGcHj1hmgkVHIDzoMmw0V2PuAg1Y3M2C9BqubzahoXe5L08+PZmsZDr/3VaXTAlRWijIL+CrorSgZHTahF2pQWGsFQ5MWYMT19NabcInINJ4JcaP2g6DgDS0FJkSSBdUe4R8zmcdOWxvXrkQa/MTERvsCW+fANy8eRPBAcyB9nSDh7s7vDy94OsXhDuRKcgsk82gnob6BlhZWKBn1x/4Un9KMh23q0HuvXPYM242dp6whnN4OMJv34CPhQZUV87FsoPOuJUt4ideLxpQlRWDewEe8HBxhqurK69J4u7lj9vxOSh9QWv2lQuxPNoNV4+uxbqFUzFtwgTMmLcC8hs2Q2m7ZD9p6xYo71SBxhkH+MQVoFzGVjLiYmMwlVZzf/mZr741U46cCFOojJ6AVYqq0Da3gMVpLWjulIPc6s1QPeuD8JwqEcr0mtBYkYWkm3aw1N6LfYryUKTtJkVFbGNft21WxO6DJ2DqFIr4/BpelKgtvHIhNtVVoyrdGy6a0zCsW3cMkTOHU2gWigtzkJWRhNibtrBUnYcp/X/F8GXHcCG0qM1/bEdTWlLCN4rpUPc+lV38TGIzZUyIZtg3cSk0bEMQW12N6qpKVJSnIs5DG1unLMb+i+yDEee3ZZ6m6iTcNtuOdeOHY9LKQzD2iERqfhHf4qHTSXmxnrDXXI65o6dgpYYjgrIa2hTQ3U4+YiqirVdh8o89MXyrE261Nr0bKlAY7wajpb+i9ze/YYG2ByJk5EhlgL8vhg4cgJHDhvC9rYeraSXICjuLPROW46hLDDIlV6mIadEdA2wbNgYKhjcQLqZEGScfkReVsGrgLxg2aw/O3c5CwWOfaQ3KE71gs2UUhvcbjWW63ghvQxxb+wnxynrM6PkzRmxxQNDDntlMYyHCjk7G6C8+wUCFs3CRgRAD2rim0y/dvvsGJ/X0Wp3OZ75CbiCuaS3GxC79MUtRE/qXLsPOxgpWxjrQUdkAha0ncPlONorFjCjDNKAh4QJ05nVHl55Tsd40EU+Piq1GeYgG5Ad+hy6DFaFzPQvPm2vaSYjJiLJZh+k9e2HkdheE/LnQEVAXD4+dw9H/k+8wRskGQTKQlNPG2pofBKajX3+Oh2xEdWE0QhxMYaJ7EqYX7HDN3RPeHi5wsbPG5Yt2cAvLQbHY1ZdtGiuQYr4K83p8hO6zNGAWJ7n+RJilVBmAc6sHoMfHv2PhYU82NT2b9hPiZTlM79EDQ9ea4mpIOrIy6QhUCpIib8LXchdWDu6JPkPWQdMplk340k1aWio/m8nzk9pc4icxBG8YtZnw2jcOIz79HH9sPAvP55mb9Wnw2DsOwz/+CqM2m8HnOduS7SbE6CsKmP7jD+g3eQtUj5+DzYXzMD93BqcObYPi3LGYNEseB2zCkCTlm2skOjrFT2cON8nLobxMbMu/iTRVx8Nh+wgM+uBbjN9uiYDn2Zr1efBVn4TRnT/BULkzcHlOt2lnIXZB/6nboa5vAVtripCwhLW1La55BOFeWhHKnlblU4oICwvlJ/v/GDwQ3p4ekquCN42mmgw2w41lM9znGLHxHLye507VJsFZeTQGf/gVRiueh+9zFura0Uck07Qnhq23hGtEPj+WRkGoRSXlqJQRf4nOIFLcHAX70jnXvzt9gkCKaChDvMlyzO7+IXrNPQKLBMn1J9KApmJXnFzcF90+GojFWh5Ifs6c0zGLNTIAncr3YjPg731/5XF3j+aeEbxpNKAmxhjq07vg+x5zscUqBU8dlpvKkOe6Hcv7dsZXgxSh5ZmH551cbSch5iHVQQEzfmJC3OGOsBLJZRmCMnpRtDxF3J8/d7bDsnsJpIiGdISZb8T8X7uj/+Q9OH+36AmnpRpQEWGB43N+Qs8ef2DhseuIbENA/ysXYm1BEuJuGOHkpiHo+dGH+G70Dhw2v4HI9CI8JZ2u1EHBshcszXneHIqAp1VTgYBTdBc++uuwZPxoTF+rDj1rd/jfjkJ8ciIS7t2Av91J6Gyaiokjp2KZqh0C0trmzrxyIZZFu8D24GIsmToCo4YPwYgx0zF/pQbO+8VL/TZFCxQhTmkUBvTpDS8Pd8lVgUBCZTqinXWgJjcHc2Ytwao1ctiyeRO2b1yJdctmY/5yJWhahSDpBfbHX7kQG+uqUFGcj3yeJaygOb1CQQnKq+vYpC39VFVVQvuIJt+uoDwz9H8IBI9RX4Xy4jxkRPrDTmUiRv/QDUMWa8DiXjoySypQVdeIpkbKcteAhjZsDrSTjyi7XPf2xNCB/fl50ojw8L8lOlsgy1Qj13YTlvbujO8Gy+GQezJyqipQnhWNW4528AyJQ1obYoyFEFuRl5vL0wFSgmD9E7pigUbQJpryb8NDTwHLxw/HmAnTsXDJcqxX2Ipdqoa4cjMFuW0wBYUQW2FtZYnePbvz9IKt61IIBM+jLi8GoddMcUZbDQcPHIS2wXnYXo9ESmFtR4ZByR4kvLkzp+GX7l15Ri+B4O9ECJFB9e5P6Gjz7YptzDSlAGCB4O9ECJFBJd8ow/TwwQN5CTWB4O/mjRcipTjYLTlPStsWtH0hEPzdvNFCpEpGHmwGpMIwM6ZM4mnfBYKO4I0WItVoWL18CU8GRSFaIrpC0FG8sUKkClRUQ5FO0NB5UqojKBB0FG+EECnKnmrxt+ZOSAhmTJ6IwQP68SpCVLBEIOgo3gghpqenwd/PDzUS07OpsQka6mro9t3X2KOsxCvjCgQdyRshRKqdt3LpEly1s0VdfT1u+PvzmndU+DIq4p7kWQJBx/FGCNHF6Rr3BUcMHQT5dWt4xVkqAW5qYix5hkDQsbwRQnRyvMqrDVNN9H/9z3/in6xRmWgq750QH4fs7GwUFBYwP1I6CqAK3jzeCCHSYe7POn3Aa/FTbXSqld6re1dMGDOKV3QyOn0KUZERYvtC0GG89kJsbGqCkeEpLj6qiU5C/PLTTlyU1Ab27wMN9QOPZO8WCP5eXnshlpWVQfvIYS7Ez5gQqTzz5x9/wEU5adwYXLG5hML8fJG9W9ChvPZCpOIxVEKNhEgzIAnw+68+xyaF9bhz+zZPFCUQdDSvvRCp5r7iRgV0eu9tvP+vtzBs0AAcP6aDpKREyTMEgo7ntRdiaOhdzJs9A591ep9/vXzJGhUVMlB+SvBG8doLMSDAj6+MbpSXY6boLclVgUC6kF0hNtWhtigDqTFhuHcvEjFxCczcTEBiXBRiIu8hNqscVfVAeNhduDg5Ije3ddligUC6kF0hNlSi8I4NTm2ciKnz5LBF4ywuXbSAmb4aDm5ejDUazghIqkVNbS1qa8WCjEC6keEZsQG12eHw2j8O05bvxsEr8bifmY70uFsIvm4Jzb2n4BCUCOENCmQB2fYRawqQYLwMcipGsIqn73ORddMTwXnFiI6IQlp2vszU2xC82ci2EKtyEW24GCvWbMVuU1c46R3A/tVbcDKyDKKur0CWkG0hVpMQF2HZkpWQUzeAwe7N2LJKGSbRJSiWPEUgkAVkXIh5iD29BGuV9GB8uxaN2TGI9boGv8xKlIqAe4EMIcNCbEJTeQbCT8zFsi06OBUoWRmtq0ZNQ1Ob0pwLBNKC7AqxoRxFty/gxLJf0WfgRKygyqwFknsCgYwhu0JsrEFF+l0EOl2ApeUlOAfF475YoRHIKLLtIwoErwlCiAKBFCCEKBB0OMD/B20dZHj/fqS/AAAAAElFTkSuQmCC)
In the given figure, XY is parallel to PQ, then the measures of the angles x0 and y0 are
![](data:image/png;base64,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)
maths-General
maths-
In the given figure the sides AB and AC of a triangle are produced The bisectors of exterior angles B and C so formed intersect each other at point O
BOC is
![](data:image/png;base64,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)
In the given figure the sides AB and AC of a triangle are produced The bisectors of exterior angles B and C so formed intersect each other at point O
BOC is
![](data:image/png;base64,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)
maths-General
maths-
In the given figure, the bisectors of
Q and
R meet at the point O then
QOR is
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)
In the given figure, the bisectors of
Q and
R meet at the point O then
QOR is
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)
maths-General
maths-
In the given figure,
then the values of x, y and z are
![](data:image/png;base64,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)
In the given figure,
then the values of x, y and z are
![](data:image/png;base64,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)
maths-General
maths-
In the triangle ABC, BC = CD and (
ABC –
BA(c) = 30° The measure of
ABD is:
![](data:image/png;base64,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)
In the triangle ABC, BC = CD and (
ABC –
BA(c) = 30° The measure of
ABD is:
![](data:image/png;base64,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)
maths-General
maths-
In the figure below, the perimeter of the quadrilateral is 46cm, then the area of that quadrilateral is
![](data:image/png;base64,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)
In the figure below, the perimeter of the quadrilateral is 46cm, then the area of that quadrilateral is
![](data:image/png;base64,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)
maths-General
maths-
In the following figure ADBC, BD = CD = AC m
ABC = 27°, m
ACD = y Find the value of y.
![](data:image/png;base64,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)
In the following figure ADBC, BD = CD = AC m
ABC = 27°, m
ACD = y Find the value of y.
![](data:image/png;base64,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)
maths-General
maths-
In the given diagram, equilateral triangle EDC surmounts square ABCD and area of triangle DCE is
units Then the area of the square ABCD is
![](data:image/png;base64,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)
In the given diagram, equilateral triangle EDC surmounts square ABCD and area of triangle DCE is
units Then the area of the square ABCD is
![](data:image/png;base64,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)
maths-General
Maths-
In the given figure
and
Then m
BDA is
![](data:image/png;base64,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)
In the given figure
and
Then m
BDA is
![](data:image/png;base64,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)
Maths-General