Maths-
General
Easy
Question
AB is parallel to CD. If
and
then
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVwAAADfCAYAAAC6RWvuAAAgAElEQVR4nOzdSXBUV6L/+e8dcp6Vg1ISQhOaBWIyNjN4YAaXXVXxKl5H96pXvXibXna/Dm874t/Rve3o//vXq3KV7b8HsMGAjQHPNmYWEgg0S2jKlFLKVKZyznt7AcoyxmVjGxDD+UQQVUaH1LknM3958kxX0nVdRxAEQXjg5MWugCAIwtNCBK4gCMJDIgJXEAThIRGBKwiC8JCIwBUEQXhIROAKgiA8JCJwBUEQHhIRuIIgCA+JCFxBEISHRASuIAjCQyICVxAE4SFRF7sCgiD8AlqeQj5HNq+haTqgo+k6ug7oOihGFKMZi1ESvalHkAhcQXhs6JCZJTYxwtDIJJORJBlJAYMRRQI5n0czebGV17OsJkiVc7HrK/yQCFxBeGzooGtoySniPV9x4eo0/XolZdXVrFhqQc0lSYyPMtQ3wM2RFpram6kP2PGaF7vewgLxrUMQHhsymNw43R4qDNNkZsfpmraRdbfy3IaNbNz8LKvKs5h6jvDZ++/ylxO9XBjLLHalhe8RgSsIjxPFhNHmwGfVMEoF4pod1VlOdXk55UuaaGupYk1gjuzgJb747BIXBqaJLXadhSIRuILwGJIUA4rBgEEBSc+Rvf33qtNH5dIgfptMPhohFk+QWNSaCt8nAlcQHje6ji7JSJKEjI4ugQZAktjkGH0jUaK6FU9FOaUlTuyLXF3hH8SkmSA8diRAQtbSaMkpIhMj9A9mKJHG6fziW05/M8GwtJrqFc00VwVwLXZ1hSIRuE8IXdcpFArIsowsiy8uTzRJQpJklEKKQnSE8d7LnP/Whj0/xpWOATqnVbIVHkrdZpwWabFrK3yPCNzH3OjoKF1dXYyOjlJaWspzzz2H3+9f7GoJD5quo0sKkmrGZLZid7iw5nSWNrchKYPciEwx03GOriVWytzVlJvBtNh1FkTgPq7S6TQjIyOcPn2a06dPMzY2xoYNG2hqahKB+xSQ0NBUB6p3GTVtz7Ll+SpsukY+0U38wiH+2398zYcfz5MpCVLaVo1bBO4jQQTuY2hgYIDPP/+cr7/+mmvXrgFQV1dHe3s7LpcYsXviyTKqIiMbTMgWDy5fGQHb7akxez2uBi9+JU7s5ijj4RizBSgsbo2F2x6hwNVubaRBRpcWpgWEBblcjunpafr6+vj666/59NNPGRoaoqSkhOeff55du3axatUq7HYxJ/1E03PkErNMTc8wFZokmhrm5mAPfZM1OGWNfOI6ia4QY5oXT30Ny6oCVJjBuNj1FoBHKXDTs+RT80zlXRRMLnxWMD86tVtUuq5z48YNPvnkEz777DMGBwdxu93s2LGD9evX097eTk1NDVardbGrKjxo+ThzoWF6hiYYHhkllumkr8PGKdcgXmOG6Mg1xnv66ZVrqX1xB1vXNbDcApbFrrcAPEKBq4W6Ge+9xtepJvSKdWxrMFP+lHfWstks/f39XLx4ke+++47Lly8Tj8dZsmQJ27dv58UXX2TlypVIkvgu8PSQwFyCuWYD7ZvqsOYr8C9xY1YUFEVBMZRgCrbTtryNmnWbWN8cJGhY7DoLCx6RwM0wP3qFq59/xNGpSQxryqkPVlNuf0SqtwhSqRRdXV18/PHHnDx5klAoREVFBX/84x/ZvHkzzc3NeDweEbZPG4MbT916VgfbqN+VI6OpyKqKSZVRZI18JkeuALLZjsXhxCEOrnmkPAKJlgN9lPD0EB1XBui4LuHQlzOw0U9juYun7YS5TCbDlStXOHPmDJcuXWJsbAybzcbu3btZv349GzdupLy8fLGrKSwaCdlkx2ayY1vsqgi/2OIHbmEOfeYG4bxC2FqDNTWLaeQ8vaMraG5w0aqC8r3iqVSKeDxOLpd7Ihb4L/RQC4UCmUyGa9eucerUKU6ePMnU1BS1tbXs2LGDbdu2UVtbiyRJhMNh4NbY7sIf4fGw8Hz/+ufs1oyyJMmYzSbsNiuqKsYMHheLH7gzM8SvDxFXyrGuC7AiepxUupO+6zfpqq+jvgos38vV/v5+Tp8+TTgcxmw2PzGhG4/HCYVC9PX1MTw8TCwWw+VyYbVamZmZ4ezZs3R2dpLNZsnlcmiattjVFu5RKpUinU5jMpmwWq1IkvSbPiTz+TySJFFaWkpbWxutra1iOeBjYpEDN0c8GmWoP08u0MSqFwOYTT10fn6NT6/10VnbzvYKNxbjP8Yp5+bm6O3t5ebNm9hstsc+cCVJKgbu2NgYN2/eJBqN3jqYRJbRNI3Z2VlyuRxwayItn8+LwH0MGAwGNE2jt7eX4eFhysvLaWpqQlVV8vk88Mt7upIkoWkahUKBq1ev0t3dzfT0NFu3bhWh+xhYxMDNA1NMz0XomrIgubysKPMRXFNLtGeQ1LVu+juvcnPjOgJGY3FYwev1snr1aqqqqjCbzU/EpJEkSRQKBeLxOCMjI3R3d9Pd3c3s7CxOp5OqqioqKyvvmCQTwwmPPrPZTKFQYH5+nr6+PqxWK21tbXg8nuIH6K8JXFmWyWazXL58mbNnzxKLxTAajTz33HO43e4HcSnCfbJ4gatlYa6f2clerk1lUaSb+HyzaBmNmbxOfrSTcE8dXZOrWOoyErzdkS0rK2PLli1kMhkURfnp3/EYWejNzszMMDg4yKVLl+js7GRiYoLOzk5SqRRr165lzZo11NTUYDQayWQy5HI5EbqPKKPRiKZpxONxRkdH8fv9VFdX09LSgslk+lUfmJIkoSgKuVyOiooKrFYr165d46233iKdTrN9+3bR032ELV7gFtIUhkeYnwxRsHrI5KOMDcaYM1rIWHzU2K4xOdvLxe4ZGoI2gp5b/8zhcDyRu6kWeq6aprFmzRq2bt3Kd999x/Hjx/n222+5dOkS6XQau92Oz+ejqqqK0tLS4oeO6O0+ehbGap999llGR0eZnJxkbGyM1atXs2zZMoBfNTS08Lg1NTXU1dXx+uuvc+bMGY4cOYLRaGTDhg2ip/uIUl577bXXFuMX51MRhi9e5+ashHn5ahpaamkqL8VfXkW5Q8aX6WU8VmCQOpYsCbCq9NbmxIUxzyf1jyzLKIqC0+mktLSUiooKSktLkSSJkZERrl27xsDAAPl8Hp/Ph8PheCra5XH+43A4yOVyXLlyhZs3b1JbW0tdXd1vft5UVcXv9+N0OkkkEsVT4xZeO2azWIT7qHn4gatnyMdHGL56nhOnBxjIBKnbvJFnV9ZRXxakNBBkiSONOXKJi5f6+bavgGRxU1lTgs1kwKRIT80ZCxaLhaVLl9LW1kYgECCVStHX10dnZyeDg4NEo1EURcFut2OxiM2bjyqLxYLRaOTatWt0dXWRz+cJBoMEg8Hf/NiyLFNZWYnX6+XmzZt0dnYSiURwOBxUVlaiqou/EEn4h0UI3Bip4W+48vXnfHQhyphSRV1rA/XlVoonAWTHiA1c4cLZbjr655hT3biWVBIIuPCZ5afuvkAmk4lAIEB1dTU+n49UKkVPTw/Xrl0jFAphNBrxer1P5FDLk8Jqs5FKpZmcnKCvr49sJkNVdc19++rv8XhwOByEQiE6OjqYn5+nsrKSQCDw2K/keZIsQuBmySdmiCc0svYqypY101IbpNxjxiQD6Oj5DJmCEcw+fEtqqW1qZFl9FdWlDjympy9w4dYETGlpaTF0jUYjiUSCoaEhBgcHGR8fB8Dtdouvko8gg6oSLC/DbrMyOXaTnp4epiIzFDSNEo/nNz9nBoOBsrIyLBYL4XCYvr4+pqensdvtVFRUiNB9RDz8wJWMKPYyfFVttLYvZ3XrEqp8ViyGhaECCcngxFraQM2qDTy3ZQOb1jbRWunGZ1ExPC3jCf+EzWZj6dKlLF++nCVLlpBIJOjp6WFwcBCz2UxjY6OYMLnvdHQtTyGfJ1uQ0CUZRfrHz7R8Aa2QR9Py5AoaBU1CUqTbHQMdCnlyuTyKLONwuMgUdPoHBunsuEg4NIHZbMZitSErKrKsoPzKcDQYDASDQXw+H6Ojo1y6dIlkMonP58PtdmM0ikMaF9siTJpJSIoR1WTBYjFhMamoPxyXlRRk1YjRbMVqs2KzmDAblO+9yJ9uBoMBt9tNRUUFfr+f0tJSysrKqKuro6GhQQwt3G96mlykj5v9PVzoTzKTtVHuNd4K1EKSudEBxgeuMXhzmBvjcUIJI0abFYcRYJ758W6unrvI9avXuBlJMJ11oBjNWLUZpsYHuHD5KucudxOKRDFZLAQCPuRfOVNhMpkoLS3FZDIxNTXFlStXGBkZweFwsHTp0idqKeXjSIyoP8ZcLhfPP/8869evZ3Z2Fl3XRe/2gdDQszESE9cZ6IWUI0Q600xjpZ+gNYMW72e8u4vz0ybmXc0sq3XiUdOYnFCw6yQiU0z3XKBjYJIRuRTc9VRV19JcCWe//IZvLgwzFi1gstvwmBXy8VksdgeZbBb19ooVl8uFw+G4p16qzWbjhRdewGw289ZbbxGLxRgbG+PKlSsYDAZcLhdlZWWix7sIROA+ASwWCxaLBU3TkCTxNeC+k0yorkqC3hHqer7ikwtX+X+HYmx9fhv/0zoduy1GNj1LX6iKEl85NQEw9p/i3PgcoWWbCVrd+NwmPC4DvbEC5swUBj2N4nIQqH2OTc6NNK1eSm1AJ3r1GkfOnmEwmWcqEsZtNtLc1MTyFStoaGigtrYWm+3nzwmz2WysX78er9dLMpnEYDDw5Zdfcv78eerr6/nd735Ha2urWMXwkInWfoKIiZEHRUWxl+NfWkv7zc852zXM0at1+BtTpNI6emSM6alZYob1VFVWs6w8iT44yLmBfr6IBgg6zGyYT6AbvXhqmqmpKKEpMAf5WXLxZZTXr2Hnnmrq1D4ujF2h+0ac4YybjGbBkIjR399LZGaGixcv4vF48Pl8eDwe3G53cSOQw+G4a1OQw+FgzZo1xf+emJjg4sWLnDt3DkmSyOVyrFixQvR0HyIRuIJwTxQkZymBigqqy5J4s0YsxiyZRJTwpR76e6eRl5fgqnBityioFS783gJTvZ0MRnLIyiB6YAlSmwv30lZql85iS14jGVUYTuokogUK1jTlQT+rt9ZTEnyOMqtGSbSHwcF+um/0cenSJUKhEKqqEgwGqaysxOfz4ff7CQQCxf/1er3YbDYMBgOqqiJJEplMhrVr15LL5XjjjTc4duwYuVwORVFYvny56Ok+JKKVBeFeqWZkiw273Y7NomJR42RTIUaHZhmf1DFtsOIqkVANBhSvG4ddJR8aJT4F84Echplehr9JMzYUZnZjI5uW11BaGiF+9Sy9315gUM0ip0qwVa9g++om6pxgTiyhbriOqppljI6OMjo6SiwWK54YNjk5ycTExB2HGcmyjNVqxW63YzQaUVUVo9GI1WolEomQTqcZHR3l8OHDaJqGoii0traKCbWHQASuINwrrQCFAnkNNF1HIk4+N0s0Dom0DbtBwWYGSQYMJnRdQZ1PEyippOXZOgyZAeKXu7h0pYfJ0E5m1F1s8nupKxmkPzRHb86PyV1HqydInR18EuBw0tK2nObWNjRNI5VKEYlEGB8fZ3x8nKmpKaampgiHw0xNTTE5OUksFgPAarViNBoxGAwoilIMXq/Xy5o1awiFQpw/fx6LxUI2mxXDCw+BCFxBuGc66DoLZwRJ5ND1DJmcRL5gQFUVDCogAZJEIa+jZ1RKKmtZ/cJzeC3zNLZ+R+vHx/ly6hLffNtCyZYWXlmzBe98mmUFO6rVR8DnpOQHnU1JkorbuO12O4FAgNraWubn54t/EokEiUSi+N+ZTIZCoYCu68UescFgwOFwYLPZSCQSfPvtt5w8eZJ4PI7RaBQ93QdMBK4g/GoqkmxAVSRU5VYKF89rK+Qp5DWyshmDO0hF/QpK3TJVTUto8s9QODzAob5hJhqaMb/QRhlQ+wt+88LKlH9G13Xm5uaKB9bn8/niUZ6SJOF0OlFVFZ/PxxtvvMHZs2eLR36uXLkSg+GX3rZHQ0/HSc7HmUvmSOZAQkdCR5eNt+7DZrfjsRlQn+K5XRG4gnDPJJAkJEkHSUaXrKiqC5dDwW7JkssXSGUBkw6ZNIV8gbzNheZwwcIKEtWLe9VK6gdVls7oWJNxchrc7/3qkiTdcS7uQi934f8vTJJt374dVVX5+9//zunTp4Fbmyeam5t/WehqeQrTNxjtusx3fTMMR3VkBVQ0MHtQgstpaW5hY6MHl+XpTVwRuIJwr2QZFBlVkZBlFaQSrNY8VWVG/MNxBpI5ognALkMiRi6TQymtwlZdj7W4WssATifeYCmlAR9uqwU1r4Pxwa6fXhiS+CG32822bdtIJpMcOnSIr776inw+zx/+8Afa29vvffWCniU/foWBL9/k/ZODnJ1UUYwmbGYVs7MMQwvsMiyhvdqN6yk+2E4EriDcEx09myQXjxOdmWVudpZItEBa8lLRVEVtaIjBmUmm+mYYJ4FtNEkkIRMMGHBYk/QPhgk6FIxKDGkmRrJgI9hcy5LaUqzy4m5WcTgc7Nu3D6vVyl//+le++uorTCYTACtWrLi3nq5+e3xb0ygUNORcnHxiktH5FAl5CkVaQ9PqFJn8031IvghcQbgnOQpzIcZHRunvG2Ri1MPA0BgjyTrWtT5Hw4yBa+e6iZ9PcC5pI9NnYGLeRUugj7mhWf7abaPE46QqaMKYy6DZymhcVUnjEjvGR2COymazsXHjRjKZDAcPHuT06dOk02kMBsO9TaTJJgyVz9C428n/2BRl//gNZm58wUefXuDTkST5eJpM/h8Tjk+rRQ/cfC5LMpUmmdPIpNMUEhFsJgVPaSVGy89vYRSEh0WXjBQcyyirV9joq6QsqKAYLMgVa6lZaWZD7AbhbIREQiZubybQWk61b5zB8QhfDkVJp7NYLWU4bRWUl9bQvKyECpvyyBw3WlJSwr59+5AkiTfffJPvvvuuOJHW3t7+00vGZCNK+UrqyldStwWY/o7Y6SjRoW6+nDKSl2UMqsTTvvN8kQNXJ5NOEg5PMz6XIzI9RWroPEs8ZlZs2isCV3iEqKgl9QSf83KgOc22vAmD3Y3f60CVXHhr17DJWs70bJI4ZjB78DpUPMYY1aFJqhpSpFQXntIgJS4nJS4rTpvKo7bq1Ww2FyfS3nzzTU6dOlX8++bm5nsf07WYsRiV2ycBPuUp+z2L3sOVFRWz2YyjoKDlHJi9Acw2hbymk8vlilsTBWFxyUgmJza/E5v/7p8qJg+eKg+eigzzKTDYTBhlgFKcvloqa5OkdBOS2YTlERhC+CklJSW88MILpFIpDh06xJdffkk+n+f3v/89K1euvLd1upks6Vyewi+/R+YTbZEDV8JssRIMmgnooGkV5Jpr0Qo5ZNlAoVAQe7yFx4tqwub4wd9JKpLV+Y9bSD0G7HY7e/bswWq18pe//IUvv/wSs9mMoii0tbX9/Pvy9gaRp3zI9i6LnmaSJKN+byW02XTrS1Yun7+9YUf0bgVhMTidTjZv3kwqleKDDz7g1KlTJJNJ/vVf/5W2tjZxOt2vsOiB+88YRM9WEBadx+Nh//79qKrKG2+8wZkzZ7BYLMWjHX/5jrSnm0g1QRB+ktVqZevWrciyzNtvv80nn3xCLpfDZDLR1NQkhv1+AdFSgiD8LJ/Px44dO0in07z33nt8++23SJLEK6+8wooVK0To3iPRSoIg3BObzcbu3bux2Wy8/vrrfPbZZ8VDzn/x2QtPKRG4giDcM7fbzebNm5mfn+eDDz7g008/JZ1O86c//UlMpN0DEbiCIPwiHo+HAwcOYDabef311/nmm2+wWCzk83mWr2jHoCpgNKAq8lO/s+yHROAKgvCL2Ww2Nm/eTKFQ4N133+XEiROk02nMNictjctAVZFlWewx+wERuIIg/Co+n4/du3eTz+d55513bk2kqRZ27NzB8uAc+XSOgn7rDGHhFhG4giD8ajabjR07dmA2m3nzzTf55OOPiEyHiazwYJ4ME5rXyWs6SBKa2HYmAlcQhN+mpKSE7du331oydvAQZ775mhtnkziVJL3DafS0AQoFsrnCUx+6InAFQfjNXC5X8RDz//zP/+SLzz8nkUig6xJ2bwmmMjc+pwmD8nQPL4jAFQThvrDb7WzevIl8Pk9Bh8+++AqzQWHVurVUPtfMhno3DvPTvWxMBK4gCPeNx1PCli1b6Lp6lSsdlwj6fezZ9Tyr1q+hssqL3Sx6uIIgCPeNrusYVBW7zUaJ109lWSnNS92UeBQW+fZti+7p7t8LgnDfGY1GVq1axYsvvoSsKHz55edc67xEIZde7KotOtHDFQThvnI6nWzduhWv18tf/vIXzn53llw2h4bMmjVrcDh+eEL700MEriAI95UkSVgsFlasWMErr7yCJElcunSJZCqFpmls2LABs9m82NVcFCJwBUF4IEwmE9u3b8disZBOp7l27RoHDx4kn8+zceNGbLan7yaxymuvvfbaYldCEIQnkyRJeL1e/H4/0WiU8+fPMzU1RWlpKYFA4Kk70lH0cAVBeKCsViubN29G0zQymQzXrl3jjTfeIJlMsnnzZqzWx+n2mr+NCFxBEB44SZJ47rnnMJvN/PWvf+XixYtIkoTZbGb16tVPzUSaCFxBEB6KhXCdn58HoKuri2w2Sz6fZ9OmTZhMpkWu4YMnxnAFQXhoFEVh6dKleL1eRkdH6e7uJh6PY7PZCAQCGI3Gxa7iAyUCVxCEh0qWZbxeLyUlJczNzXHp0iVCoRCBQAC/3/9ET6SJIQVBEB46q9XKtm3bMBqNRCIRLl68iKqqpFIpNm7c+MROpInAFQRh0ZSVldHe3k5vby+nT59G0zSsViurVq16IkNXBK4gCIvixo0bfP3113R1dSFJEgaDgTNnzqDrOtlslg0bNjxxE2kicAVBeKgKhQLj4+OcOHGCkydPkkqlWLVqFX6/n66uLrq6urBYLEiSxNq1a7Hb7Ytd5ftGBK4gCA/V5OQkX331FV9++SX5fJ69e/eyadMm7HY7g4ODHD16lHPnzpFIJJBlmWefffaJ6emKwBUE4aG6evUqn3zyCYlEgk2bNvHqq69SWVkJQGNjI2azmWQySXd3N++8805xeOFJGNMVgSsIwkOTTqe5cuUK169fZ+3atezevZuKioo7yjzzzDOoqsobb7zBuXPnyOfzxU0Tj3voisAVBOGhyGQyDA8PMzw8jCRJtLS00NraiizfeR8Em83Gc889RyqVolAocPXqVf72t7+RyWQe+x1pInAFQXgoYrEYV69eJZlMUldXR01NzT/dWaaqKlu2bMFut/PnP/+Zjo4OjEYjBoOBNWvW3PPRjrqWJZ/Nksvr5DVA10DX0XQd0NF0CV1SUY1GLGYjBkXiQd4FSASuIAgPRSwWY2hoCEmSaGhoIBgM/mR5k8nEypUr+eMf/4jBYODixYuk02kkSeLZZ5+9h23AGoXkFLOjgwzfnGYilieLgqIqSJKOQo5MFjI5B+4lVTSsqGaJ24zl/l3yXUTgCoLwUMRiMcbGxpBlmZqaGrxe78/+G4vFwvbt2zGbzaRSKa5du8a7775LNptl/fr1Pz+mq2sU0hEmOz/jQk+UKVcr/qoa6rwaNjlHNp5mbjxEMlvAVFuKxW2mAh5YL1cEriAID0UikWBiYgKbzUZ5eTkul+ue/p2qqqxevZpCocC7777L+fPnyeVy2Gw2Vq5c+RO365FQLD5cwSD23CSZ8REmbVvwV29idZuOz6ijRWeYudxFSMmT0wvEAQ1Q7tdF//BaHtDjCoIg3CGfzxMKhVi2bBk1NTW/6Axcm83G1q1bMRgMmEwmenp6OHjwIJlMhg0bNvyTA28kJNWC2VWCXc1jLMxTMHowB4PULAUbQLCMcoOCN5lj1m7mQZ/KKwL3NygUCmSzWXK5HLquA7cOWlYUBYPBgMFgQJKkX1wun8+jado9l5MkCV3XURSlOLHwa8st1O+nyuVyuWIbLJQzGAwYjcZiuUwmQz6fv6O9JEnCaDTeUe6Hj/dj5RbuFPDDcrIsF9tFlmU0TSs+3sL13u9y37/ehXKFQoFcLkc+n6dQKNxV7vvX+0vKff/1ous6sizf1X7/rNxCMP1U+y1spzUajXdd78Lj/Vy577ffz5UbGRkhFApRUVGBoihomlYsl8vlyGazdz0fqqoWH29hZcPc3BxjY2N88sknpNNpDAYDzc3NOJ1OFOXuvqmuy0iqAUWVkbUUuaTOXFLHapqnkM0Qc5ShOK1U2wyYeHC9WxCB+6tls1nGxsa4cuUK/f39ZLNZJElCVVV8Ph+NjY20tLRgt9sZGxujo6OD/v7+4qC/LMsEAgGam5tpamrCarUWH29wcJBkMokkSUiSRCAQoKWlhebmZsxmM6Ojo3R2djIyMlLcjaNpGqWlpbS1tdHS0oLZbGZkZKRYbn5+vvjm8/l8rFixgra2NiwWCyMjI1y+fJmbN2+STqcB0DSNkpISVqxYQXt7OxaLhdHRUc6fP8/IyEgxnHVdx+l00t7ezsqVK7FarUxMTPDdd98xODh4RxDYbDba29uL6yknJyc5f/48fX19FAoFgOJdAFpbW3nmmWdwOByEQiEuXrxIT09PMTRkWcZms9HU1MTKlSvxeDyEw2EuXbpET08PqVQKWZaRZRmXy0V9fT3Lly/H6/UyNTXF5cuXuXHjBslksvhm9ng81NfX09raWny8zs5Oent7mZubQ1EUdF3H5/PR0NBAa2srTqezWG5gYIBYLFZ8PrxeL01NTbS1teF0OpmcnKSzs5PBwUHm5uaKz4fH46G1tZXly5fjcrmYnJyko6ODoaEhEolE8flwOp20tbXR3t6Oy+Uqtsvg4CCZTAZN09A0DbvdTktLC2vWrMHlcjE9Pc3Zs2fp7e2940PVYrHQ3NzM2rVrcbvdzMzMcP78ea5fv042my2+1k0mE42Njaxbt46SkhKi0Sjnzp3j+vXrd7yejUYj9fX1rF27Fr/fTywW47o4Q38AACAASURBVOLFi1y/fp1EIsGFCxcIhUKMjIxw8eJFLBYLPp+PWCzG5cuX6e7uZm5urrhMzOVyUVNTw4oVKwgEAszNzdHT08ONGzeIRqNEIhFOnDjBzMwMW7ZsYevWrTQ2Nt79ZtUlJFlF0vPkE2FmJ0cZGshQkPqJJDKMFVbg9rtZ6XiwYQsicH+1RCLBlStXePvtt/nqq6/IZDLFT/hgMMiuXbuKZ3t2dnby9ttv8/XXXxeDdOEg5l27duHxeCgtLaWjo4O33nqLc+fOEY/Hi4FbU1PD7t27KSkpwe/309HRwRtvvEFHR8cdb/Da2lpefvllAoEAPp+Pjo4O/vrXv9LV1VV8PE3TWLp0Ka+++irl5eUEg0E6Ozv5j//4D7q7u4uBWygUKCsr449//COVlZWUl5dz48YN/vznP9PV1VV84y4E85/+9CeWLl2KxWKhv7+fv//975w7d6745tY0DYfDwb/8y79QXV2N2Wymv7+ft99+my+//PKOwLVYLBw4cIDa2lrsdjv9/f289957nD59uhgEiqLgcDh44YUXKC8vx+12MzAwwKFDhzh58mQxSBVFwePxsG3bNkpKSnC5XPT19XHo0CFOnz5dfIPLsozf72fr1q04nU6sVmvxa+sXX3xBJBIpBm5FRQXPP/88TqeTuro6rl+/zjvvvMOZM2eIRCLFdq6oqOCll17C7XZTW1vL9evXefPNNzl37hyzs7PFcmVlZezduxev14vVaqW3t5e///3vXLhwgXg8Xmxnr9dbfH6dTieDg4O8/vrrXLhwoRi4hUIBp9PJgQMHKC8vx+l0cvPmTf77f//vxa20Cx+UVquVvXv3UlFRgcvlYmxsjEOHDnHixIm7AnfHjh1UVlbi8XgYHR3l8OHDfPTRR8V2XgjczZs3EwwG8fl8jI2N8eGHH3L06FHi8Tjz8/PFHWTvvfce5eXllJSUMDY2xvHjx/nwww+ZmZm54wNw3bp1WK1W3G43g4ODHDx4kBMnThAKhUgmk9y8eZO+vj4GBwdRVZVAIIDL5bprbS9I6FqO3HyE2HSI8dEEptwlBqeSXNdKKGuopq4UrA/47u0icH+l+fl5RkdH6e3tZWRk5I6fhUIhqqqqmJubK75Ab9y4weDg4B3l4vE4VVVVzM7O4nQ6GR4e5urVq/T19d1RLpPJUFtbWyw3MjLClStX6OnpuaNcoVCgv7+faDRafKNdvnz5rt+byWQYGhoiFovh9XoZHx/n/PnzhEKhu+o3PDxMLBYjGAwyNTVFR0cHo6Ojd13vyMhIsdz09DTXr1+/q9zExESxd1daWkokEqG3t5ebN2/e1b59fX0kEgkKhQJTU1P09/czPDx8V7lAIFAMpXA4TH9//13XOzo6itfrJRqNkslkmJiYoLe3l97e3ruuw+v1EolEiuW6u7uLPcPvt8vCdS5ZsoTx8XG6urq4cePGHeXm5+dZunQp4XCYJUuWMDExwZUrV+ju7r6rnRsbG5menqaqqopwOFzsgX9fJBJhYGCAmZkZdF0nEolw6dIl+vv777qOwcHBYrnZ2VmuX7/+o+03ODhINBotluvt7WVoaOiucr29vcVyMzMzDA0NMTAwcFe5hR4wwPT0NIMDA3e18/T0NB0dHYTDYQqFAtPT0wzcLvf99hsfH8doNBIOh8lms4TDYW7cuEFvby/JZLL4YV4oFLh48SJNTU0sX76cFStW3MPmCB1N1yjkCxTQ0DTQH+QC3NtE4P5KZrOZmpoatmzZQjAYLPYaFsYf165di9PpRFVVqqqq2LJlC2VlZWiaVixnt9tZvXo1brcbo9FITU0N27Zto6amhkKhUCzndrtZvXo1LperWO7555+nsbGxOBYI4PF4WLlyJQ6HA1VVqamp4cUXXyQUCt1RzuVy0d7ejt1uR5Zlqqqq2LlzJ9FotFhOkiSsVivt7e3FReZLlixh586dTE9PF+u3MM62cuVK7HY7kiRRXl7Oiy++SENDwx3lZFlmzZo1xXLBYJBt27ZRXl5+RzlFUVi3bh0Oh6NYbtOmTbjd7jvaT1VVWlpacLvdAASDQTZu3Ijdbr+jnKIotLa24vV6kWWZsrIyNmzYgNPpLPb4Fp631tZW/H4/qqpSUVHBpk2b8Pl8ZLPZ4hvcZrPR1taGz+fDYDCwZMkSNm/eTHl5ebFnuPD8rlixAp/Ph6qqLFmyhK1bt1JVVUU+ny8+H1arlbVr11JSUoIsy5SXl7N9+3bq6+vveB2YTCbWrl2Lx+MpXu8LL7xAS0vLXe28bt06PB4PkiTh8/nYtm0bFRUV/7QcgNfrZdOmTTidzuLwxMLzsWLFijvKrV+/HoPBUCx3q51VltUvwx8oRZIk/D4vzz33HLKioqMzNDREf18ffr+fzZs3U1paWryN+rp164rHMn7/eaupqaGsrAxVVfH7/axbtw6j0Ug6ncZkMmEwGOjt7eX8+fN0dXUxMjJCY2PjDwJXv7XhQTZgsHlx+QKUV7gIsBzJnUTJBvH4wfGAe7cAkv790XHhnhUKBebn5wmHw8WgWnghW61WfD4fJSUlqKpKMpkkHA4zMzNT/ASXJAmbzVYspygKyWSSqakpZmdni2OVC+X8fj8ejwdVVUkkEkxNTRGNRslms8WvT1arldLSUjweD4qiEI/HmZ6eJhaLFceYF76y+/1+vF4vqqoyNzdHOBwmkUgUh0YWxlL9fn8xWOLxOKFQiHg8XnxjKIqCyWQqllNVlfn5eUKhEHNzc3eV8/l8xUBbaL9YLFacWFEUBbPZjMfjIRAIYDAYSKVShEIhZmdnixOAsixjsVhwu90EAgFMJhPJZPKucgvX6/F48Pv9mEwmUqkU4XCYSCRyR+BaLBa8Xi9erxej0UgmkyEcDjM9PX3HhJPVasXr9RbbJZVKMTU1xczMzB1fxRfGKH9YbnZ2ttjOwB3tZzQai6+XWCxGJpO5Y8LM5/MV7/210M7xeJx0On1HOa/XS2lpafHxQqHQjz6e1+sttt9Cu8zOzhYnsGRZxmQyFdvPYrGQTqeL7fePiTMZs8WM2+0mWFqKyWQil80SmpoiHk+Qz2Z57713+dvf/sYz657h3//9/6C2thaTyUQ2m2Vqaoqpqak7AtdsvvV4fr8fs9lMNptlenqaSCRCoVBA0zQikQiHDx/myJEj1NfX82//9m9s27btjiVnheQAl//rv3Ps0xtcbvxfWbnvX/ifV+mUmqLkMxlmknZ0yY7bBkajhKI8uK6uCFxBEO4zHT2fR1LvXKr15n/7r/yf//f/w4YtW/gv/+X/wmr5bXu6pqamOHToEMeOHaNQKLBlyxYOHDhAVVXVHWtztcwIV/6//43jn/VwufV/Z+2r+/lf2m8vCwMgRjKaYDxsxGi1U15mRn1AoSuGFARBuD8KMWITw4z0jBLGj6W6ibpScCUnCfWP0nmxk2QWUjmdiYkJ6mpqQPp1wRYOh/noo484cuQI6XSa/fv3s3fvXmpra4vfHADQ0qSik0Smp5kMRwi7hxgfnKTPLVFu1cln4uSifYxOFbiZa6ByqYVSHlwwisAVBOE+SKHP9TD43YccO/QdFwrt+Lb9kX3NKZZOfMJnn3bz0WeDzBVM5BUzk6EQ5cEAFusvv5tDNBrlgw8+4IMPPkDTNHbv3s3OnTuprq6+M2zR0DPTzI50MzwWYnAyyrjSieNCKWeSChWOAnOhEJHeXmZMSzCtb6S0xIQsP7ghBRG4giDcBzqariDlk8yPXqZ7YJR01oMpXs5Wu4LuLGFpnYQ5l0cBJsYnmKut/sWBe/PmTT7++GMOHz5MKpVi586dvPzyy9TV1f1IaQkkGcVUQuny51lrirHU0YC/woDTrGBQZYxGM0ZrkJKSSkor3QRLDDzAIVwRuIIg3A9mZGcj1e3b2Lb+LH1THXx642suLfkDq179H9i1R2FV/xCfffkVo6OjjIwME4k0UVpads+/YWZmhhMnTvDuu++iaRoHDhwo9mx/nIRk9OFbtplNZatZndEoSAYUoxGjIqHIOlo+Ty6dB4MZo8uJVYUfruC9n0TgCoJwH8hIqg3XkmaeeaaVsxd6+eZqhFhGQapZRs1SaCwvZ35uhuH+Xro6O1nZ3k5LS8s9PfrExATvv/8+R48eRdM0tm/fzt69e1m2bNnPVMuIwWrEZXVzb0flPFgPMswFQXjamFVsHg8OmxNrLg+5DPM5mAMkRWZJVS2yyUx//wAjw8PFHYY/JRQKceLECY4cOUIymWTPnj38/ve///mwfQSJwBUE4f7R55nKQCKXxZSfJB6apO/GDKGxFEgQrFqKv3Ip+UKewcFBRkZGigc1/ZhIJMKhQ4d4++230XWdnTt3smvXrn8yZvvoU1577bXXFrsSgiA8rtIkxm4wePksFzu6uToa4WaiQGI2RHJygNGpLOG0HbPRSHmZE7vbQSY1T3hsjPGxMXK53D89G3d4eJiPPvqIw4cPMz8/z0svvcSrr75KY2Pjj5yV8HgQY7iCIPwGCWZ6P+ObNw9xtMdEduVeNu98huU7NGzxMDOfX+PqhU/4otxJ/fJqtrplNqxqZ3p4mHfffY/jx48XD5yx2WxEo1Hi8TiZTIZTp05x5MgRNE1j37597N69m5qamsW+4N9EBK4gCL+BAaPNh7eyjlrZgd7QROOyFlY4XdQpWfSyfq7k6ihrChCwGTACJcEytmzdyuRkiG/PnOGtt97iwoULBAIBstkss7OzpNNphoeH0TSNbdu2ceDAAZYtW/aDdbaPH7G1VxCE30AnNxchEZ1hDhuy04/HYcSmpNGTUaYiGRI5M3aPE4/TXLwrbj6fp6enh2PHjnH8+HFmZmZwOBzMzMwQCoWKN5DcuXMnO3bsoKGh4bEPWxA9XEEQfhMJg9OHx+nDc8ffm5GsQUqtUPoj/0pVVRqbmlAUhWAwyMTEBBMTE5w8eZJEIkFVVRXbt29n586dT0TPdoHo4QqCsOiuXr3K0aNHOXnyJJIksWPHDvbt2/fjd3B4jIkeriAIiyqVSnHu3Dk+//zz4t0lXnrpJWpraxe7avedCFxBEBbN2NgYH3/8MUeOHCGXy7F9+/Ynasz2h0TgCoKwKCKRCCdPnuTdd98lk8mwb98+du3aRX19/RMZtiACVxCERbBwePiRI0fI5/Ns376dXbt2PdabGu6FCFxBEB6qycnJ4tkI8XicvXv3sn//fpqamha7ag+cCFxBEB6aaDTKhx9+yPvvv08ul2PXrl3s2bPnsT0b4ZcSgSsIwkPx/QmyZDLJiy++yCuvvPLELf36KSJwBUF44KLRKKdOneK9994jnU6zZ88edu/e/VgesfhbiMAVBOGBCofDxcPDs9ks27dvZ9++fTQ0NDzRE2Q/RgSuIAgPzNTUFJ988gmHDx8mkUiwd+9e9u3b91RMkP0YEbiCIDwQ0WiU999/n8OHD5PNZtm5cyd79uyhvr5+sau2aETgCsKiyZKbmyGeyJJS3BjsTjwWMMgAGlo6SjyeJpYxYrRY8Xqst38GxCeYnYkwlVHJGn14fD6CdlBIkpuaZHI6RUJxYg+U4ncbMT/kKxsbG+PUqVMcPXqURCLBSy+9xCuvvPLU9mwXiMAVhEWhoaemmLp+hp6BGcadz+BvXMnaSvAYgcIc6YkOrl+foGM2SKC6kW1rLLhNEtp8iND1DvoGhxnJW0iYa1hSuYz2Bhe+wijj17u41j/DtKEMb+NympoqWWqXMD2kK4vFYnzyySe88847ZLNZdu/ezZ49e566CbIfIwJXEBaDlmF+apihi59zriPEUHWAltKVtFUAFCA2zmzvd1w+M8yJ2ZW0yDU8154HZYTp/i4+Ox9mumCnrMqOITrM9JmrnJ8oQXU5ScwYMdjclBjSxEf6uJ7JYmgpp8JjxfCAL2tycpJjx45x5MgR0uk0W7duZf/+/U/8DrJ7JVpAEBaDXiCbzhIPTzA9OsjETJSZLOQB0CA7Tz42STQ8xuBkjMmkRC47T2HiO3rPfcYXQxIT3vW0rX6WTeUpnIPH+O6j93jn3DidpmbKNmxlw6ol+BKjTF7pYnw2TvIBX9LC2QiHDh0iFouxc+dO/vCHP9Dc3CzC9jbRCoKwGGQjlpIl+Lwl+GwSJrlAXoOCDqCAzYvHX0J5iQWzKgEaufQc09e6uHGlh1nFjqmyEp+3lGBQxWeNMTI4TGf/LEmLG3eFH6/Pj5s8amqWVC5LCnhQh1/Pzs7y/vvv884775DJZHj++efZs2cPDQ0ND+g3Pp7EkIIgLAbJiKWkDF+glFKPFYdZQYHbiSiDzYszEKAiMI4nbMKiJsmn04z3TDI0lMa0wYm/3IBRBdljw13uI3tuhsxEBHW0k3C3j3RilgndhiXoxmm1YLj98Pf7HK6FOzUcPnyYubm54gRZc3Pzff5Njz8RuIKwyCSkH09BCZAkJAkUKUEhHyUymyESM6EajDjsoKiAyYRqd6EadOzROazXz3AzYSKmW8k766iuaybocuHk/n+ljcfjnDhxotiz3bFjB3v37hUTZP+ECFxBWCxaAU3T0HSdu250pWugaRQ0bv8sjV6IM5/SSWatGFUVi/F2TksymmxC0iz4LG6aK4KUl5qZUV0YypdRVV2B38Z9nzCbnJzk+PHjHD58mGQyybZt23j55ZdpamoSY7b/hAhcQXhcSNLtHq+EfLvnC9wK7lyebE7GGlxK86YXaKr3oiEjqQZUFdT7PI4QjUY5ffo0Bw8eJJFIFE/9EmH700TgCsJjQMeIJFsxGRXMhjw6Gnnt9pBvPoeWK5BVTKgON2aPD5PF8sDqMjMzUzw8PJ1Os23bNvbu3SvC9h6I1hGExSIryLKCIsvIioKsgLzQE5VkkGUURUKWFZBdmEx+gl4jfneaTDbH3Pztspkk+XQK3eFGL/GT07QHVuXJyUk++ugjjhw5QjQaZdu2bfz+97+nra0NVRX9t58jAlcQFouuoWsFClqBQuH2eG3xZzpoGlohTyFfIJuzIBv8VC71UrVEoZBKEglDMpWHmTjxRA5baTne2moMlgezkTcej3P8+HHeeust5ufn2bFjB/v37xdLv34B8ZEkCItBz5CZuUlofIj+oVEGkgPQHCZc56XSoiAlp5mbGGOof4CRQTNa5SSj8WqeaVxO/WSSjr4hZs5/zVXNgKUnxo1ZH0sb6qlbHcRlV+57dReWfi3cFmdhgkxsavhlROAKwmLQc2TiUyRykFIcyLk0UiJCIuVBQ0HOJIgnCsxlFOxKGjkzQyRVg9a4jpqEworpISYnvmWgz0tqysG8cy2r2htY2WLBc5+XI8RiMU6dOsXbb79d7NmKMdtfRwSuICwGyYDRWUH1xt/z0tLttBuW4q52U+WUby2/NQewN7zEs8oKSubsmEprWRZwoJpLCDQY2JzxMT4dI22xk/Y0YLf7qW2oYIkRjPexmpFIhMOHDxeXfm3evJl9+/bR3NyMotz/nvSTTtL1u1YACoLwyEuSmksylwDZasPhttz3IxjD4TCnTp3irbfeIhaL8dJLL/Hyyy/T2tqKJN3v/WpPBxG4gvAYK+R1ZFW679t14/E47777Lu+//z7JZJItW7Zw4MABmpubMRrvZx/66SKGFAThMabc7x0NwPj4OKdPn+bw4cPEYjG2b9/O7373O1pbW8WY7W8kAlcQhKK5ubk7Jsh27twpJsjuIxG4giAAt274eOzYMT744APm5+fZvHkz+/fvFxNk95EIXEEQ7jg8PBqN8tJLL3HgwAHa2toWu2pPFBG4gvCUm5ub4/Dhw3zwwQckEgm2b9/Ovn37aGxsXOyqPXFE4ArCEySTyZBIJEgmk6RSKZLJJJlMhnw+T6FQQNd1JEnCaDRiNptJp9PcuHGDY8eOFc9GePXVV2lraxNLvx4AsSxMEB5juq6j6zq5XI7p6WkmJiYIh8NMT08zOzvLzMwMc3NzpNNpcrkcAJIkYTKZMBgMhMNhQqEQJpOJDRs2sGfPHlpbW8XSrwdE9HAF4TGUTqcZGhqiv7+foaEhwuEws7Oz5PO3bkMpSRKaphUDWZIkVFVFVVWMRiPT09N0d3czOTlJZWXlHWcjiAmyB0cEriA8JrLZLPF4nNnZWfr7+7l+/Tq9vb309/czPT2NJEn4/X7Kysrw+/243W48Hg9OpxOr1YrVakXTNCKRCN9++y2FQoGKigr27NnDgQMHxA6yh0AMKQjCYyCbzdLR0cE333zDlStXisMAgUCAkpISnE4nJSUllJSU4HK5sNvtWK1WbDYbZrMZs9mM1WolHA5z8OBBjh8/jqZpbN26tXhbHDGM8OCJHq4gPMJSqRTDw8N0dHTQ0dHB9evXiUaj2Gw2qqurWbt2LW1tbSxduhSXy/WTjzU9Pc358+f59ttvyeVyPP/887z88sssX75c9GwfEtHDFYRHVD6f5/z58xw9epQzZ84gSRL19fWsWbOGhoYG/H5/sUf7c73TTCbDe++9x8GDB4nH42zZsqV46pfo2T48oof7GIvH4wDYbDax7fIJMz4+zhdffMHp06cZHR3F6XSyfPly1q1bx7p16/D5fPf8WKFQiFOnTnHw4EGmp6eLRywuX75cvG4eMhG4j6FUKsXg4CD9/f2UlJSwfPlynE7nYldLuA90XWdsbKwYkKFQiHXr1rF3715Wr16N0+nEZDLd8+PF43E+++wz3nnnHaLRKC+88AL79++nra1NhO0iEIH7mIlEInz99dccO3aMwcFBNmzYQGlpKQ6HQ4zDPQEmJiY4fPgwR48eJZ/Ps3v3brZt28bq1atxOBy/6LGi0Sgffvgh77//PnNzc2zatIn9+/fT0tIiln4tkkUM3Bz5RIy5uSTJgoQmmzCarDhsRsxmFR0JCQlFZAjw/7d3701N3fsex99rrVxISIAkEIKEiwWVi6BuW/GybS0MvYzVls609eH0eZxnUMdxHE9rZRzZ9bIr20NB5SIEAxIwASHhkpAQkpX9h4Wzt3O6z9ZxrxD4vviXCT9mrfVZv3x/t1ebQU9PT28PeoyMjGCz2dA0DSnD7w6RSISbN2/y888/k0wmOX/+PJcuXaK6uvqNP2thYYG+vj6uXr3K4uIiH3/8MT09PbS3t8uLOY/yFLgZ9LU55sYDBKfnebmpsWH2UFZWQZ3XjrvcSc7pxlZUhNssRwuHQiH6+vr46aefmJiYoLi4mLNnz9LR0cHRo0fx+XzyEO0CAwMDXL16lfX1db766is+//zztwrbRCJBb28vV65cYXV1lXPnznHhwgWamprkPskzgwN3E5IvmH46wcR4mJdpDcVWTFGxhtmcQ1kJMjn+gqStHPOfznLgoJ8S87s9o6mQPHv2jMePH9Pf38/IyAjz8/P4fD5OnDjBZ599xvHjxzGb3/GJgcJw6XSasbEx7t69y8LCAqdPn+bixYvU19e/8WdFIhH6+vq4du0a0WiUs2fP0tPTQ1tbm5QRdgBDAzeXCrEy+hfu/Pdj/hoqwdvxIX8+8wFtFQp2ZYW1sb/xYGCYp8slqJ7DlNb5abIb2cL803WdVCpFIBDg9u3b3Lp1i2AwSGVlJZ988gldXV00NTXh8XgkbHeJWCxGb28vo6OjHDt2jO7ubvbt2/fGn5NIJPjll1+4fPkysViMrq4uzp8/T2trq4TtDmFg4CaIPhtg6OZN+ketvKw7w9GDTTTVllJlBrDj3N9Iy5EAqVmYV0zoCciVAHvoXhkZGeHu3bvcu3eP58+fo2kap06doqOjg46ODump7ELhcJiHDx+ysrLCd999xwcffPDGc2OXlpa4ceMG165dY3l5mVOnTvHll1/S0tIiL+YdxKDAzUAmxOyT/+FOX5CQ+xMaz3XyfruH2u17wYTqPkhLZxbXyxSTGQ9OZfdnra7rJBIJotEowWCQO3fucP/+fWZnZ6mtraWrq4tPP/2UlpYWTCaZVLLbJJNJZmZmiMfj+Hw+2tra3miOLbwK29u3b28PkG1tRHPkyJH/UKvF2zLoCU5AbJzw5HOGQ1aSfh91B9x4Xa/9mmaDiiZ8pRlsG0UoGph3+YhZPB7nt99+49atWzx8+JClpSWqqqr45ptvOHnyJM3NzdTV1clgxy4VCoWYmprC6XRy8ODBNw7bRCLBjRs3tk9q+PDDD7d7tmLnMSZw9XWIhlieXyGy4aLY6cLryVH0fx7ubEexQNkffKPSdX17I+VCp2kay8vLPH78mN7eXsbHxzl06BCdnZ1cuHCBxsZG4NX/nMlkdsX/LF4xmUyk02kCgQBTU1O4XC4aGhoAtq/1H11vTdPIZrPMzs7S39/P9evXt1eQff311xw5ckQWNexQBgVuDtJpMukM6ZwFu2ZCMylvNd0rFosxNzdHMplE07SC7fkpioLZbCYcDhMMBonH47jdbpqbm9m/fz+bm5uMjo5u79Sv63q+myzeIZvNRjweZ3BwkMnJSdxuN6lUanurxT+65lv72qbTaX799Vdu3bpFIpGgs7OTL774Qo4y3+GMCVxFg2IbZpuGNZdET6XZSClk32I1ajAY5OrVq8zNzWG32wv25lIUBU3TiMfjBAIBotEo6XR6u447NDTE2toa6XRawnYXslqtJJNJhoeHmZ6epry8nFQqxdDQEFar9Q+/xW11MDKZDC9evCCVSm0PkLW2tsoA2Q5nTOBqNvDUU1FTTr1zgtmXszybjBP1OKh8fVRM3yC7mSWtWFA1ExaNfyo8rK+vE4lEmJmZweFwFPyIvaIouFwumpubCYfDjI6OEggE8Pv9VFVVYbVat3fxF7uHqqpks1ksFgu1tbVYrdbt88dUVf2X5aNsNguA2+3m6NGjdHZ2ygBZgTBo0MwGjlZqDzZyvHGYcGyCof4A79ccobnmH3uoOVgOEVtOsmDyYyt1UVMCpn9I3IaGBi5dusTq6ipms7lgSwpbVFXFbDaTzWYJBAL88MMPDAwM8N5779HV1bVd15P67e6lKMr2ffyvardbBIWcmAAABZ9JREFUdF1HURRKSkqoqamhtrbWiGaKd8CgwDWD5mdfy2nOfjZH+K+rjD3p5UFxGPNhL267FZvFhEkF1hZJ5ixkPDpFOcjl+Kcurt/vx+/3G9Nsg0WjUbLZLJubm1itVhwOB6dPn8bj8eS7aUKId0D7/vvvvzfmTymYHG7cVR5KlHWy8xPMBIM8nQozF4nwciHC/NIaixknprIaaqpceJ0mrK+VFHYzm82GzWZjY2ODsbExQqEQFRUVNDU15btpQoh3wMDABUWzYS6tosJVjKvYSpHDjcNdia+yHK/HRZnbg6uyBl+VD7/bis20d8J2S1lZGaWlpUxOTjI4OMjS0hJOp5Pa2tqCr1cLsdflYemSDVvtCdp9R2nK6GRzKoqqoKoKiqKiqBqapr0qL+xBRUVFtLe3c/HiReLxOI8ePeLy5ct4vV7a29tltZkQBSw/T69iQrOasP37G9fvKTabjY8++oh4PE44HObevXtUV1djsVg4fPhwvpsnhHhL0l3aoXw+H93d3YTDYa5cucKPP/6Iw+HA6/VSUVFR8LMzxNvIQWaDjWSCtfUN0ulNdD3LZlZnMwsKCqrFTpGjlDKXneI9+i1xJ5PA3cGqq6vp6elhcXGR69ev09vbS319PefOncPr9ea7ecJwOUgvs/ZikomJIFNzMVY2FTKq+fcynIZWVEZJZT11BxporC3DI0/4jmLooJl4M6qq4vV6sVgszM/PMzY2RiQSoaysjKqqKoqKiqSnu9dkN9iIzbI08gsPBka5FzKRtnk5UOPCaTehxedYmnrCk5FpJsI6mzYnLrcVqd7tDPL+KwDHjh3j22+/ZWlpieHhYR48eEBzczNOp1MG0fYUBawuStzl1NkTkFplOu2jsf4U3Z/XYCfO2tO/8OjuEx7fvk/f3WcEV78mV9rBcY9Ksbyb806e1gLgcrk4c+YM4+PjwKt19LFYjHQ6LYG71ygamsWKwwomVWEDG2a7iwqnExUnzkPvk8ttEJ6+TLT/HgN3KrDv8+M9XUWTS+6VfJMrUCC8Xi/d3d34fD4sFgsOhyPfTRL5ktPJKSZMZjOWTR0yKdZz4FCAkgNUnyjnfHSGXOwK//VskPt3jnLqYBkNLieytU1+SeAWkJaWFvx+P7quY7fbsVqlMrdXbe228PsODK8tgXdRuX8/rY0VlA6/ZCYwydRyGzGcVLD3FhPtJBK4BWRr6a8Q/68SFxWVXlzMMRVdYGk9yQpQjgRuPslMPSF2I1UBRXk1Nxfl9x+RbxK4QuxGqRTr63ESmhkcTkrNZpxI7zbfJHCFKDSqiqaqqOrW3iOm1w5bjZOYnuJpYIGYzYP7QCM1rmLKkMDNNwlcIQqOgqJsheer0sH/PsgZSDxl7NEIv46m0L0HaDvZToPXIYsfdgAZNBOikGSTJKMvmAnN8vz5DJHkOM/G/QyOrFKqZEklIqzPDnF3PM28p4M/nf0zXSdqqSuVvtVOIIErRCHJJEjE5plZTLIcT2HemCP6fJi/9Udwm1JE50IsLqywaGvnwMXTnDnZRkeNikOe9B1ByclhWUIUjs1VVmfHCA4P8mhqmblsBaUVXuoriyhW06wtLbO6rqL6DlF/+DCt1RZKpHC7Y0jgClFQcuT0LNmsjq7nXi2A+P0QSoUcOT1HDgVFM6GZVOSMkJ1FAlcIIQwilXQhhDCIBK4QQhhEAlcIIQwigSuEEAaRwBVCCINI4AohhEEkcIUQwiASuEIIYRAJXCGEMIgErhBCGEQCVwghDCKBK4QQBpHAFUIIg0jgCiGEQSRwhRDCIBK4QghhEAlcIYQwiASuEEIYRAJXCCEMIoErhBAGkcAVQgiDSOAKIYRBJHCFEMIgErhCCGEQCVwhhDCIBK4QQhhEAlcIIQwigSuEEAaRwBVCCINI4AohhEEkcIUQwiB/B4JlrmnvS2BPAAAAAElFTkSuQmCC)
- 75°
- 70°
- 215°
- 145°
The correct answer is: 145°
Related Questions to study
maths-
In the figure, if ![Error converting from MathML to accessible text.](data:image/png;base64,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)
![](data:image/png;base64,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)
In the figure, if ![Error converting from MathML to accessible text.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFsAAAASCAYAAAA0YaI9AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAANvpXuIwAAAb5JREFUeNpjYKAcLMfBHqzmDirwDYiZSFD/Hwd7sJo7aIAKEF8iUQ8xgTKYzB00IICMLEtMoAwmcwcNqAfichoEymAyFxtIBuIOLOLNUDmagFXQ1ELtQBlM5uIC54BYHImfCMRTCLiPEMYLbgGxNA0CZTCZiwt4AHEflO0CxHtpWYQwQWt2BioHymAzFx/YDcT2QHwBiIVpGdjmQLyfBoEy2MzFBwqA+BcQ6xHpPrKLkUggno9FXA2Ia6GxTU6gYDMX5hiQx45Cm3DUNhfkXjcSAtoaiNdAi5JIWrdEJgFxGhbxxVDx/2QGNi5zYUVBFrRyoqa5IKABxA+J9LsSEG8CYi4g5gHiM7QuRtYBsReR2ZqUQCFkLgj8oIG5oIh8h2UI4D9aC0YUiLehBa4PNJHRDIAcxkGDwCZkLqhCOkhlc4WhzbZEAoHNBo00aRxjMx4D1eEhN7DxAUloma1ERXNh5XYsDvnlROS0AQf/iSgCfpBgHqji3QINcGqaCwJ8QNyKpUw3AOIrQMwyVAObHCAJLSf5aOxm9EiSRusljojA3gZtLdAS2EJbFUMKkNznHyAzkc0FpegdQCw/mAISAHVVs4bbizm/AAABA3RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtc3ViPjxtaT5sPC9taT48bW4+MTwvbW4+PC9tc3ViPjxtZmVuY2VkIGNsb3NlPSImI3gyMjI1OyIgb3Blbj0iJiN4MjIyNTsiIHNlcGFyYXRvcnM9InwiPjxtc3ViPjxtaT5sPC9taT48bW4+MjwvbW4+PC9tc3ViPjwvbWZlbmNlZD48bXN1Yj48bWk+bDwvbWk+PG1uPjM8L21uPjwvbXN1Yj48bW8+LDwvbW8+PG1pPng8L21pPjxtbz49PC9tbz48L21hdGg+b1p9sAAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
maths-General
maths-
If
where
are constants, then
If
where
are constants, then
maths-General
Maths-
If ![fraction numerator sin to the power of 4 space theta over denominator a end fraction plus fraction numerator cos to the power of 4 begin display style space end style theta over denominator b end fraction equals fraction numerator 1 over denominator a plus b end fraction text then end text fraction numerator sin to the power of 8 begin display style text end text end style theta over denominator a cubed end fraction plus fraction numerator cos to the power of 8 begin display style space end style theta over denominator b cubed end fraction equals](data:image/png;base64,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)
If ![fraction numerator sin to the power of 4 space theta over denominator a end fraction plus fraction numerator cos to the power of 4 begin display style space end style theta over denominator b end fraction equals fraction numerator 1 over denominator a plus b end fraction text then end text fraction numerator sin to the power of 8 begin display style text end text end style theta over denominator a cubed end fraction plus fraction numerator cos to the power of 8 begin display style space end style theta over denominator b cubed end fraction equals](data:image/png;base64,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)
Maths-General
Maths-
and the equation
has at least one solution then the value of (a+b)
and the equation
has at least one solution then the value of (a+b)
Maths-General
Chemistry
Correct order for stability of carbocation is
![](data:image/png;base64,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)
Correct order for stability of carbocation is
![](data:image/png;base64,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)
ChemistryGeneral
maths-
If ![x equals sec space theta plus tan space theta comma y equals cosec space theta minus cot space theta text then end text y equals](data:image/png;base64,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)
If ![x equals sec space theta plus tan space theta comma y equals cosec space theta minus cot space theta text then end text y equals](data:image/png;base64,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)
maths-General
Maths-
For all values of
, the values of
lie in the interval
For all values of
, the values of
lie in the interval
Maths-General
Maths-
Maths-General
Maths-
Maths-General
Maths-
Maths-General
maths-
does not exist Extreme Values; ![cos space invisible function application x plus sin to the power of 4 space x element of](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHgAAAARCAYAAAAWn2hAAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAkJJREFUeNrtmD9IAlEcx0XCISQIiQiRoEEiRIKICIcIGhpEJIiQaIiWpmiL5pZoCIk2aYpokYiGlghxiAgiGiRaHBya3BokRLi+D37C47jzvXe9u+S8L3zQu6d3v99935/fu1AokBvaBEbwGPypFHgKDPanRsEziAcG+1NlsEjfA4P7VE6NOQBbGq4TqE8NNmxwS9OgCN5AC7T93KmMAYtpDdTALpgDEZk/ZUAV/ICGabphyoIP6insM2dxjSlQoR4l24N3wLHF+SNq0/kwZeIzbI7XQZ2eD3tOCQ0xOck9QaN2WKVHzIImyIMwSIIrrn2BkktxW4E6V1B09WpjvEgs4HHueBucuzBaZOKzMpiZewImufiqmmJSzf2MfFKu/vYE7VmLEX1rOteirYKqVsEpfV8Bjy5NhzLxWRm8bDoXpplMh1Rz/6L7K+kbjAjazfN8hM7zytMmv+Ag0QewBN5BzGFBIypuZOIzJDuPzjVWJfe2g7yFwRo9bmZWFJRonU4qJLlP10u7XNCI4vsPg1VydzSCm5pGMK9DWl9kC7wyTVUFlw0Wxee1waq5F52swSWJNThnMd3d9PiP7DrFKts7qgqjVAjFPDDYLj4vDXaSe4J+F1W9UYP2Vyxx9i71gmufp6p5ho7TdJwRbAEqgvuOgXtTUqx4u/TAYLv4vDL4L7lvcPtgtgMakt0qvYAOLfY5i6r5k3p9zWaa6C70HQp+osf9IjQDxC3arqm6dOPlgyg+LwzWkbv5TVYnFLweHTz9AnTuwppBKpTKAAAAzHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5jb3M8L21pPjxtbz4mI3hBMDs8L21vPjxtbz4mI3gyMDYxOzwvbW8+PG1pPng8L21pPjxtbz4rPC9tbz48bXN1cD48bWk+c2luPC9taT48bW4+NDwvbW4+PC9tc3VwPjxtbz4mI3hBMDs8L21vPjxtaT54PC9taT48bW8+JiN4MjIwODs8L21vPjwvbWF0aD61bF2OAAAAAElFTkSuQmCC)
does not exist Extreme Values; ![cos space invisible function application x plus sin to the power of 4 space x element of](data:image/png;base64,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)
maths-General
Maths-
Maths-General
Maths-
The minimum and maximum values of
are
The minimum and maximum values of
are
Maths-General
Maths-
The minimum and maximum values of
are
The minimum and maximum values of
are
Maths-General
Maths-
Maths-General