Physics-
General
Easy
Question
The vector are shown as following figure find the correct statement
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANgAAAAnCAYAAABt5IYhAAAGqklEQVR4nO3bTUwT3R7H8e+01IZS1PIiKqJE0yDgS8TEEFbElY0h7YqFbgyJgRjZmJhg4lbjgh26UGJ8g+iKaCImbIyCEMNKpRDRVCQSsfLSUmrLdDpznsUNvYbgo14c23LPZwWESf9n/v3NmZ4zVYQQAkmSTGFJdwGStJ7JgEmSiWTAJMlEMmCSZCIZMEkykQyYJJlIBkySTCQDJkkmkgGTJBPJgEmSibIqYIlEgv7+fm7cuMH09DSqqqa7pDXTNI23b9/S3t7O1NQUS0tLv3ysqqpMT0/T2dlJf38/iUTCxEr//6ylN8tyln8wDANN08jkRxOTySRfv37l2rVrvHr1ilOnTlFVVYXD4cBiWf1aoes6yWQyY8eVTCZZWFigq6uLN2/e0NzczIEDB3A4HFit1lWP0XWdeDzO6Ogod+/eZWhoiIsXL5JIJDAM4y+P4NcpioLNZkv1aj32ZqVUwCKRCE+fPkXXddMKXivDMJibm6O0tJSuri5GRkZobW3F4/GQn5+/6jHhcJhnz55l7BvPMAyi0Shut5tHjx4xPj5Oa2srDQ0NbNq0adVjYrEYT548oaOjg9HRUerr65mZmaG3t/eHF5pMYLVaOXr0KJs3bwbWZ29WSgVsaWmJwcHBjA/Y4uIiX758wTAM5ufnCQQCaJr2w2NisRiDg4MZ3cR4PM7U1BS6rrOwsMCHDx/+9XZP0zQmJiYIh8Mkk0mmpqYYHh7G6XRmfMDq6upSv6/H3qykLH9dRQiRsQNdpmkaQ0NDXLp0CZvNxokTJzh+/Dgul+uHb6xMH5emaQQCAc6fP08sFuPkyZN4vV6Kiop+OCbDMAiHw/T29vLgwQN0XaetrY3a2lpsNttfHsHvsVgsKIoCrM/erJSawRRF+eX7ynQRQqAoCkeOHKGhoYF9+/aRn5+fathqsmFcVqsVt9uNz+fj0KFDP739sFgsuFwuvF4ve/bs4fHjxwghyMnJyfixfm899mYlJZu+cCmEIBqNoqpqatb6t3BlAyEEqqoSDocpLi7+rTEtzwChUAi73Y7T6cz685FJ1tKbZVkVMPjvLLae/IkxrcfzkgnWel6zLmCSlE1yfv4v/xvDMAgEArS3t+P3+7FarRQXF9PW1kZNTU3G33v/iBACXdeZmJjg3r17DA8Pk0wmcbvdnDlzhv3796e7xN8WCoW4cuUKz58/T+0plpWV0dLSwuHDh8nJMe1tYgrDMEgkEly9epWtW7fS2NjIhg0b0lKLaWdOCMHc3BxOp5ObN2/icDg4d+4cL1++pKqqiry8PLNe2lRCCCYnJ7l8+TLHjh3jwoUL5ObmprusNVFVFUVRuH79OtXV1UxPT9PR0UFnZyfl5eWUlJSku8TfYhgGL168YGhoiKKiInw+X9oCZtqmiRCCSCRCKBTC5XIBUFFRwcGDB7Hb7Wa9rOlUVeXWrVvU19entXF/yvcf5MvLy7FYLGzbto2mpiZisVhWPo726dMnuru7OXv2LKqqMj8/n7ZaTJvBdF0nGAwyMjLCnTt3MAyD6upqKioqMnoz9GdCoRBjY2M0NjZm9YVi2fLTMXl5eWzcuDH1gd7lclFQUJBVvVreGL5//z4NDQ3s3r2biooK/H4/O3fuTEtNpp09TdOIRCJUVlZSWFhIIpEgNzcXu92e1atds7OzFBQU4HA40l3KH6GqKoFAgB07dqT+pus6Y2NjFBcXZ9VFRNM0enp6sFqt1NfX43Q6qaysxO/3YxhGWp55NG0GU1WVSCSC1+vF4/HQ19fH7OxsVt5yfC+ZTBKPx1OLHcuycU9OCEEikWB8fJyqqip0XUdRFGKxGP39/bjdbpxOZ7rL/CkhBEII3r9/T1dXF8lkktHRUYQQLCwssGXLFoLBICUlJX+9R6YFTNM0QqEQhYWFBINBXr9+za5du7L+yl9WVkY0GuXhw4c0NzejKAoWiwW73Z51q23wn68ATU5OUldXRywWY2Zmhp6eHiwWC7W1tVkxgwkhWFxcpK+vj6amJvbu3Zt6ZGx2dpaBgQH8fv9vPeL0p5i2D/bx40c8Hg/RaJSCggI8Hg+nT5+mvLw8a5foAeLxOAMDA3R0dPDu3TsMw6Cmpobbt29n3WqiEILPnz9TW1sLQG5uLqWlpfh8PrxeL9u3b8dms2X8zKzrOr29vQSDQXw+H0VFRamav337Rnd3N0tLS7S0tPz1RSm50SxJJsqeJSJJykIyYJJkIhkwSTKRDJgkmUgGTJJMJAMmSSaSAZMkE8mASZKJZMAkyUQyYJJkon8AVMBZYW/U6woAAAAASUVORK5CYII=)
- ABCD are collinear
- ABCD are non-collinear
- BCD have same magnitude
- None of these
The correct answer is: None of these
Related Questions to study
physics-
Which of the following is equal to ![sec to the power of 2 end exponent invisible function application theta plus text cose end text text c end text to the power of 2 end exponent theta](data:image/png;base64,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)
Which of the following is equal to ![sec to the power of 2 end exponent invisible function application theta plus text cose end text text c end text to the power of 2 end exponent theta](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHsAAAARCAYAAAD9qNNDAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAjhJREFUeNrtWDFLAzEUPm4oIqXQQaSICFJEpBSXUqSDiziIyOHWwUEKDg7uTv4D/0ARcRCXUhxEXEQ6FBFEipTi4lBEHAoOIiJFqC/wFY6YXNreVcg1Dz5Kcrncl+8lL+/Vsv7POkCbUCUkLWOh184m7BIejA9HR7tv47vR0G6ZUDE+C792Cdw7sx5jcoQy4RULyxof66fdHOECpGWWBVkb7QnCs/GzXtoxkpeEmGJcjTDF9V0R0n1krmE80YFpx8LCDeHLlebzlie8IDk4JoxJQkgFY5qELdczRnZeQXYFc/N2RlgbgrO9+DJbJzRQ8rDfDcEc2ml3L1mIOzw8EaYRInYIh9yYRUKL4GAMCzunglqx4yFKkbAp6GehaTVgZ6v4ZhECU2in0F7i5tFOO7Yr4x6Ey9idbnvj2iXCns9w1ZAsjGEyYGer+JZwsvmTfs71aaedgywvL5noUyD2h6Ad80HWFszp1e+161WnoBe+7HmE64sIuGipXRShoIEw0ougQSZGTJBrQX8GO98K+GR3BnzeDpN2+9bfv+PeCeOKD7Z87s5u2cDbAWF7CM5uBXSytdbOFuxeluUVFB8s+rx3oigd3BaHeJEhOFvFtyRIvByJqNpqV0Ap4bYkMtFuVjdDOBGUIE1khDbqvaM+Sdddi2alxq0gSQrK2Sq+Gax5Ae002jndteveIz+o6RKS+F/FmLqk3GAlxB3G1BQlicjSeI+djscB3u/XVHzXUTa1sWbHaGdMC/sFzE38kAyVjAIAAADXdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdXA+PG1pPnNlYzwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+JiN4MjA2MTs8L21vPjxtaT4mI3gzQjg7PC9taT48bW8+KzwvbW8+PG10ZXh0PmNvc2U8L210ZXh0Pjxtc3VwPjxtdGV4dD5jPC9tdGV4dD48bW4+MjwvbW4+PC9tc3VwPjxtaT4mI3gzQjg7PC9taT48L21hdGg+dgJLpAAAAABJRU5ErkJggg==)
physics-General
physics-
Which of the following is equal to ![open parentheses 1 minus sin to the power of 2 end exponent invisible function application theta close parentheses sec to the power of 2 end exponent invisible function application theta](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHsAAAASCAYAAAB7PKHtAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAArBJREFUeNrtWc9HbHEUv+4iTxItMvIkkqfViGckTxJpkSTRokWLRJK8fYu0TYv+gSRJ2qRVEkmSkXiSJG/zFnnSIlokzxjDfefUZ8b4Ovd+7+87c3X4LO53vne+55zP95zvOd9rGOkXCygS8oSuTxvSLyZhgXD9acOH8B+tppz0gs/3VuGferahIlnCZcqJHiCcB3g/Dz/Vsw0VQ3qE8W+EZcJNDZxbQaQNNnY6zPlBOCA8wqG9yu/fCRcJ+iAMG95Jztu8vEOYC8HZSZLNG/YQzrKTXjjJxHMr4Y8w7wKkxy2h2bBGWIw4spKMhiNCs2YeZ66vytixkLZ/JlDXhGoDD/QnSDanpTPCv6o2Q7d++XkSu7eAtNWuzGMndWvWHyJsCeN7hBFlrI9w6lH3KcJf6MjrfLFJv+eY80CYjsqGV0JDgmT/Iox5XN8C0ZyVOjA2IxQvlgBVNggTwjinxGFlrAH+cqs7p9bf2IQmjsR14Rh9JoxjDqfs3ahsKMVQIDkJR0WLD7IHhT606GP9exuHMjLC/KIH3Q8Q2dXypDzv43gIIq5tCItsywUkGUeBOOWR7DA2palEqm5cJVun+5uwYV6F5+YARHuyIek0ztKEVHSPNBYX2RnlDC5LDhFnaNK4Tnc3mz6obz3ZcIICoRaq8SVDvg6Miuxyu6LKCmoAQ1Og6XR/ITRqdHgOGNmebKil1svu3I2K7CbhwqgFpEnZbhH+cqs7V8izGh02Ap7ZnmxwulSJm+xZtDJxkc1yV+VsbnH42njUZq7TpYqkexdaw3JFzJ3DttB6PqCaNtErb0Zow/uPWZdFVxS3YxYKxSObW6Ioyc4iMjgqbx1aKem61I3uOQRTCaRI/88Bd4U5Ny5aUb82VCan/UNIUKmFDyGhybyR/k+cfmUNFyJ1K/8BHbf6d5hJbPoAAAEKdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mZW5jZWQgc2VwYXJhdG9ycz0ifCI+PG1yb3c+PG1uPjE8L21uPjxtbz4tPC9tbz48bXN1cD48bWk+c2luPC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4mI3gyMDYxOzwvbW8+PG1pPiYjeDNCODs8L21pPjwvbXJvdz48L21mZW5jZWQ+PG1zdXA+PG1pPnNlYzwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+JiN4MjA2MTs8L21vPjxtaT4mI3gzQjg7PC9taT48L21hdGg+r+eK6wAAAABJRU5ErkJggg==)
Which of the following is equal to ![open parentheses 1 minus sin to the power of 2 end exponent invisible function application theta close parentheses sec to the power of 2 end exponent invisible function application theta](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHsAAAASCAYAAAB7PKHtAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAArBJREFUeNrtWc9HbHEUv+4iTxItMvIkkqfViGckTxJpkSTRokWLRJK8fYu0TYv+gSRJ2qRVEkmSkXiSJG/zFnnSIlokzxjDfefUZ8b4Ovd+7+87c3X4LO53vne+55zP95zvOd9rGOkXCygS8oSuTxvSLyZhgXD9acOH8B+tppz0gs/3VuGferahIlnCZcqJHiCcB3g/Dz/Vsw0VQ3qE8W+EZcJNDZxbQaQNNnY6zPlBOCA8wqG9yu/fCRcJ+iAMG95Jztu8vEOYC8HZSZLNG/YQzrKTXjjJxHMr4Y8w7wKkxy2h2bBGWIw4spKMhiNCs2YeZ66vytixkLZ/JlDXhGoDD/QnSDanpTPCv6o2Q7d++XkSu7eAtNWuzGMndWvWHyJsCeN7hBFlrI9w6lH3KcJf6MjrfLFJv+eY80CYjsqGV0JDgmT/Iox5XN8C0ZyVOjA2IxQvlgBVNggTwjinxGFlrAH+cqs7p9bf2IQmjsR14Rh9JoxjDqfs3ahsKMVQIDkJR0WLD7IHhT606GP9exuHMjLC/KIH3Q8Q2dXypDzv43gIIq5tCItsywUkGUeBOOWR7DA2palEqm5cJVun+5uwYV6F5+YARHuyIek0ztKEVHSPNBYX2RnlDC5LDhFnaNK4Tnc3mz6obz3ZcIICoRaq8SVDvg6Miuxyu6LKCmoAQ1Og6XR/ITRqdHgOGNmebKil1svu3I2K7CbhwqgFpEnZbhH+cqs7V8izGh02Ap7ZnmxwulSJm+xZtDJxkc1yV+VsbnH42njUZq7TpYqkexdaw3JFzJ3DttB6PqCaNtErb0Zow/uPWZdFVxS3YxYKxSObW6Ioyc4iMjgqbx1aKem61I3uOQRTCaRI/88Bd4U5Ny5aUb82VCan/UNIUKmFDyGhybyR/k+cfmUNFyJ1K/8BHbf6d5hJbPoAAAEKdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mZW5jZWQgc2VwYXJhdG9ycz0ifCI+PG1yb3c+PG1uPjE8L21uPjxtbz4tPC9tbz48bXN1cD48bWk+c2luPC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4mI3gyMDYxOzwvbW8+PG1pPiYjeDNCODs8L21pPjwvbXJvdz48L21mZW5jZWQ+PG1zdXA+PG1pPnNlYzwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+JiN4MjA2MTs8L21vPjxtaT4mI3gzQjg7PC9taT48L21hdGg+r+eK6wAAAABJRU5ErkJggg==)
physics-General
physics-
Which of the following is equal to cosec2
Which of the following is equal to cosec2
physics-General
physics-
Value of sin20° + cos20°
Value of sin20° + cos20°
physics-General
physics-
Value of
find the value of sin20O +cos20O
Value of
find the value of sin20O +cos20O
physics-General
physics-
The density of a material is 8 g/cc. In a unit system in which the unit length is 5 cm and unit mass is 20g, what is the density of the material?
The density of a material is 8 g/cc. In a unit system in which the unit length is 5 cm and unit mass is 20g, what is the density of the material?
physics-General
physics-
The density of a material is 8 g/cc. In a unit system in which the unit length is 5 cm and unit mass is 20g, what is the density of the material?
The density of a material is 8 g/cc. In a unit system in which the unit length is 5 cm and unit mass is 20g, what is the density of the material?
physics-General
maths-
In the given figure, if
and
then the values of x and y respectively are
![](data:image/png;base64,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)
In the given figure, if
and
then the values of x and y respectively are
![](data:image/png;base64,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)
maths-General
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,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)
![](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,iVBORw0KGgoAAAANSUhEUgAAALQAAACzCAYAAAAgyDaKAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AACEKSURBVHhe7Z0HVJVZlu/fmrdm1ryZWat7qrumK3RNh+numa5gjoCKOYcyZzFWmXMWRQUTmJEclKwSFVSC5CSCgiA554zkzP+dffisKS1U0IvccH5r7YWc74p47/873z7n7PB/IBB0hw7pK6Ojo6PTpO/lCSFoQTdoRWWiO6z1juLkqWtwuOMBFzsr3DCzgMvjQlQ0SS+TA4SgBd2gHQ0l93B58ybsOWiCh6kpSE4IRJD9MWw55ICQ1CrpdX2PELSgmzzHrRPHcfa0A55WV6EkOxJhNoex6cgthKVXS6/pe4SgBd0kDk7HDuDQrrNwiX6EgNvGuHpwE3YbheJ5aav0mr5HCFrQTRLYDH0MujrmCM7JRUZ8EB46ncHe7YbwjC+GvLjRQtCCbtCBtoZQmO/ZA52T9nhSWYnK8lykP7qBY0v3wyosDaXSK/saORF0OzraW9Hcwr5KIwJ5ohWV8dbQXbUQWmuPwMTNDc62pjDXPwady/cRU1CPNumVfY18CLoxA8k+ZtC74IWEikZpUCA/dKClpgi5qUlISc1EfnExigtykZuVhbyKBjS3Sy+TA+RC0A35sbh3Yj02aG2DRVwFXsjRGyRQLORA0BXISnwMV4OruHNxE/Y5JCClUihanol+/BhW5mZobm6WRrpHTnY2QoICUVFeLo3Inr4XdM0jhHtawOCCDTyNd2LFFiv4Jr94xSdrb29HS0sLt9bWVrS1kbXxcTqCfeVcVtDrWFtaYNTIYfz97wmREeFYu2oFjh05jAB/f9TW1klXZEefC7rhmQ8emJ7CZSdnOFy/hMOrtsEkOAMl0ntVzPy1ux7uMDW+hiuXLsDwyiVcu3oZRoZXYWJ0DWbGRjA3YWZmAks2a1iZm+OGtRXsbW1gb2cDmxvWsLO5AQf2vaOdLZwc7HHT0QG3bzrC+ZYTs5twdb4NNxcXuLu6wMPdlf97nnc84HX3Du57eeLB/XvwfnAfvt4PJPOGnw8zXx889POFP9lDPwSQ+T9EIFmAP4ICA7gFBwbymSkkOIhbaEgwwkJCEB4aivCwTosID+NGH/qjiAg8ioxEFNmjSDyOesQt+nEUnx1josmi8SQmGk+fxHCLffoEcU+fIi42FnFxsXjGLD4uDvHPniEhniwezxMSuCU+Z5b4HEmJiUhKSkRyEvONk8mSkZpCloK01FSkpaUiPS0NGelk6cjMyEA2m2XPnzuLcaM1+M/IycnmM28u+5qbm4O83FxmecjPY5afh4L8fBQUFKCEfY63bzph0Hdf47Pf/BpjR6nj6uVLePYsjgm7tvPDlgF9Kuj2hmz4O1jDwsITeWymbalKQ/CJhdh8xhn30htBmiaxaIwYhm/+9l9QHz4Eo9if1YYN7rShnTZy6KBXbOiA79Dv6//GQPbmjRgykNvwwQMwfNBL649hL20gWT8MfWkDyL7DkJfWn+xbDH5p/b7hRuP0evp5I9jPHjGk899WZ7+XBvs9NYYP5bPYqJHDMUZtBDTVR7IPUQ1jR6tj/BgNTBgzGpM0x2Di2DGYNG4MJo8fiykTxmLqxPGYPmkCs4mYMWUSZk6djNnTpzCbijkzpjGbjrmzZmDu7JmYP4dsFhZ8PxsL587B4vlzsXjBPCxZOB9LF83HskULsHzJIqxgtnLpYqxavhRazFavWIY1K5djrdZKrFu9ituGNVr4Ye1q/LiO2fq12LRhHTb9sB5bftyALRt/wFZm2zZvxP7du/jv1J+9v9s2/4h9u3Zgz87t2LtrO/bt3smvH9izBwf3ddqhA3tx5OB+6J44zn/H333yK/z+d7/Fl//xG3zx6Sfs/64JRzbJ1NbUdIriA+lTQdcl2uPyAfYmnH+IfBqoT0a4/lJ8P38bTnukoIEN3b/jxoVDH1IAm/WeJ8TzGSo6KorPXpGR4YhgsxrNcmGhIcxC4eHqCp2jR6DH3kSaMcloRvVhsyvNtDTj3mMzr5fnXT4T33V35zOzu5sL3Ngs7cJmbJfbt+DMZpRbTo5wcrTnb7o9m+Ht2Wxvd90aNszoSXDD2hLXrSxhbWHOnxAW7ElhYWoMMxNj/gQxuWbInyZGVy7zJws9Ya5euojLFy/g0vnzuGSgjwsG52DAZj2Ds2egf+Y0zp3Sw5lTujitdxKndU/g1Mnj7P+iA93jx3Di2FH+fyM7duQQtA8dZII5iMMH9jPbh0P793IhHdi7iwlsFxPaTmY7sHvHNuzcvhU7t23B9i2buDjJtm76EZuZWDcz8W5avw4bmZh/WLcGG5i4SeTrmOjXMDdh9cpl0FqxFOvXrMIEzdF8glnCbh66WejmWbpwHr+hFs37nguXbjK64ebNZjcfuwHnz5kNDXZzf/XZp1zQn//237n95Y9f8ZuHni6yoE8F3VZXhIIs9hgrrOk8aWprQE1RBlKS0pFbVsdn6MqKcpw7cwpj1EfAgQmqjfnQ74L8bHIb6JHW3Nx5hvVTyCMZ8/3I/yMjX/yltb409vdbJZ+9pbmFL37ImpqaOq2xEY0vraEBDZLV19czq0N9XR3qyNijlB6ntbU1qGEzUKdVo7qa2YsXeMGtCi+qqlBFRgcWZBUVqOBWzhdQ5eVl3MrKmJWWopRbCUpLSlBCRtto3IpQXFSEIrLCQhSSscc9WUEBe/Szxz+5AeQO5OUx14CMuQjkKuTmkHW6D2TZWVncsrIykZWZiczMDO5y0FeDc2f404bcGXJJ0plrQu4JuSnkrnRaMndhyJVJJmNujR1z++jJSrM0CZtETxNECnstvTeyoO8Xhd2A3lR6/E0cO5r5pIHS6Nuh2fra1SsoKCyQRgSygp5MmhpqPV6Kh7G1wwTNUZjD3Cdz9hQjv54mDVmiEIImyL2YzHzMFUsWI5Xd+e+CXBNaAD6Pf85m5c6xlvpaNL4+wXfQbkkL6uob0VZfgar8HGTnlaNGbJy8EVpYurk491iM9LnRQj0qMoI9BWUr5JcojKDJJXBmfi0twg7t28sfu2+DHnn0+vj4WLQ0liA7NgyhPp644/EAIfG5qKiuQtlTP3jeZ360F7PQJKRGPUHGE0/4xsYhNqMV7ULUMoU+w95GYQRNkB97Rvck37UwZost8mffBG1zWZiZIScnBc11KYhgPrWP9x1YHT+As0a3ERifijjzQ2xBqg99Exu4haUj0S8ECeHmuB0dDO9gNmPLS4CCoNsolKAJWgDRNhNtc/k8uC+N/pK7dzxw/tw5dhPUs+8aUFvXiPrqIkRZGsD8hiv8nmUjyc0SdgEB8I96hrTCarxIf46kUFd4RUYjJostGsUMrXAonKAJOoCYOXUS32ellffr0K4BHabYXL/OvmOq7KAovkrkRLnjup4ejG6GIC6vFAUxAQgIfAAvu7PQ0b+J8LhStDY3oaGxCa3i9F0hUUhBky9mc92KH7LQnittl/0cOvmzsjBHeXkl0N6E5rI0NgNXoaS8FMWhZrC1ssBFt3TkJKWhtKYCZfnBMD52AZH+z6SfIFBUFFLQBO3j6h7X4Sd9dLBB3kFJSTGMDK/gooE+3wPldNSgJtkDFkYOcPdh7sUNPRiaWMPMIxIB1pdh+4DN0j52uHrZCdFPxRafoqOwgiboQGDzjxswSm04rCwt+Okcjw+Ii5VeQTSjuSIV0SGhiAgLR3hgMKKTspFfUojMR34IDKeYiXBEJRairFY4zYqOQguaiH78CNMmTeAxHRf09fnp2RthrsovJdvGTyQFyoHCC7qlpRnOt2/ygCCK3SBXRKC6KLygCYqJoGAe2p+mwPO37U8LlBulEDRRWFjAI8MmjB2D+/e8pMB/gaqhNIImnsQ8xlTmT1MMcFLic2lUoEoolaDpEMXR3p4H1VNcsCwzIQSKgZIJGqitqcXxo0d49ggF3AtUC6UTNJGVmYG1WiswRn0kggL8pVGBKqCUgiYiw8N5vMeCubN5JoVANVBaQRO3bznxBNsjB/bx9CWB8qPUgqb8PEo6pSxv2xvXeTy1QLlRakETWRkZWL9Gi5cKoOImAuVG6QVNUIGWyeM0eco95RoKlBeVEDRBNTZGDhmEg93IRxQoLioj6KamRuie0OF1IUyNjdAh8quUEpURNEFFVdasWo6JmqN5NSWB8qFSgiZCQ0MwffJELJz3Pa8IJFAuVE7QhKO9Lc9H3L93Nw89FSgPKiloqj937rQej5+mfESqTydQDlRS0ASVP9i4fh3Gj9ZAaHCQNCpQdFRW0EREWBimThiHlcsWIy01RRoVKDIqLWgqm0vxHlT4nOorU6lagWKj0oImqK7zGb2TGD54IG9tQTWfBYqLyguaKCkuwvrVq3hLiLfVyxPIP0LQElStdNqk8TwfMT09TRoVKBpC0BLUnsL2hjVv9HNgL9XLk33LMUHvIwT9Myip9oSONkYwf9rC1ESUQlBAhKBfIzc3Gz+sW42xGmoIDgroonSYQJ4Rgu6C8PAwzJo2GUsWzuMNJwWKgxB0F7TQ/jSPnx7IewFWVlZIVwTyjhD0G6AuAGdP6/Gmn9TbmnoTCuQfIei3QM0qqZ8LxU/T/jQ17BTIN0LQ74Aaw0+bOB6rli3hTeAF8o0Q9DugrTvq9031PaheHrU2FsgvQtDdgPp2U7N4tWFDYGFuKo0K5BEh6G5CDd1Xr1zOm7aLennyixB0D4iMCMcMykecO6fL/oiCvkcIuoc4OdrzfETypysqxP60vCEE3UOqqip5PuLwwQN4MJOolydfCEG/BxRe+sO6NZigOQqBgd3wp9tb0NJYj/qGBjTUs6919Whq6xBxIr2AEPR7QFt5j6MiMWXCOCxbvBCJCQnSla5oRHHMPbhbGMLc1glOloYwMzgHm/BCFIlmXTJHCPo9ofhpF+fbGDFkMLQPHkBpSbF05VXqntrA/OJ5XLSLQEJyKlITghHufAonzCORkCvcFVkjBP0BUP7had2TvF6euakx2jteOxpvL0WkwUYcOGEC1zxpjByN2iRExWSjtLxFGhPICiHoD6SwIB9aK5Zi4rgx8H/oJ41KtCXCYctaHDW4iShpSNC7CEHLgPCwUEydOB6L589FZsbP4qfbc+CjvRK7tU1w95WOGK2oqaxGc6OYoWWNELSMcLCz4fEee3ft+Fl/xDYU3T8BnX37cdzuCTLzClBUkIOs9CcIDn2OsnKRtyhrhKBlRENjA86e0uNJtjesrdDU2LmF0dGahWiH0zi2bTsOnzOEmdEVGBnbwOtpMapaxMadrBGCliHUH3HzjxswWm04PO/e4ZWZiNbaMhSmPUPc0yeIS0hDdmEZqhvbIKKrZY8QtAypqqzEkYMH8Ot//WfepCgt7fX+iO1CxL2MELQMueXowA9byO349Nf/hs0/rEdRYaF0VfAxEIKWEWEhIZgxZSKWLVqAO+5umD9nFr767FOc1z/LZ27Bx0EIWgbk5ubwkrzjqNY0EzZBPVzUhg9Bv6//BjcXZ1G05iMhBP2BUDbL4f37oDZ0MKwtzKVRoK2tFVcuXsB//eeXmD1jGp7FxUlXBL2JEPQHQKK1tbnOU7N0tA8zcb/cf+6EWsnt2r4N//6v/w/bN29EdbXIR+xthKA/gEcR4Zg4djTWa61EakrXHQBysrKwdNF8/O6TX+GMnq40KugthKDfk+zsbGgtW4rJ4zUR8PDtPQ8f+vlAnc3iA7/9Gs63bgp/uhcRgn4PKsrLoX3oIIYO6Ad72xvMtXh7YDN12TIzMcKffv85ZkyZJOp79CJC0D2EWlhYWZhhSP9voXfiOGq66RcXFhbwOI/PfvNrfppYKbbyegUh6B7y4P497jevZX5zQf5PQc7dIjMzA3NnzcDnn36CS+cN+M0hkC1C0D0gOSkJK5YsYn7zWMQ8fr8I5+ioRzwq769//Apuzs4iyVbGCEF3k5rqGt5KWX34EDjY2UqjPYeqmNrZ3ED/r/+HF4GkE0aB7BCC7ibGhld46YLjx45+cOu3qqoq7N6xDX/44nfYsXUz8vJ65roI3owQdDfw9XmAsRojees3SrmSBbk5OZg7cwbfn6YTRYFsEIJ+B2mpqTzQaPb0qYgMD5dGZUN4WBhGDh3E/Wnn27ekUcGHIAT9Fmhrbd+uHfxQ5KaTI9rbZX8g4mhvh7/+4StosidA1KNIaVTwvghBv4HGhkaYGl3D4H7fwODcGe739gZ00+ge1+GhpmtWLRfx0x+IEHQXUNCR19270BgxlB+C5OflSld6h4T4eCxZOB9/+cPv+c0j9qffHyHoLoiJjsKCubMxc9pkxH+ksM+w0BAMGfAdvvnvv+Ce5x109IJ7owoIQb9GYUEB31LTGD4Ud+94oL3t42QBtre3wdX5Nv72p//k4agxjx9LVwQ9QQj6Z7S1teHyhfMYOXgg9M+c+uiP/tqaGpw6eQJ//upLrFq6BKkpydIVQXcRgv4ZHm6u3G/esHY1Soq7Lr7Y2+TkZPOKpn/88jMYnD2DFy96ZzGqrAhBSzyLi8X0yRMxa+pkxMU+lUb7hojwML5V+Pe//Bluri7SqKA7CEEzSkpKeAHzMeojeMa2PGBva4M/ffUFNDXU2CI1WhoVvAuVF3RdXT3O65/DsEH9YXjlEprkKPqNWl9QfY+lC+ejIF82R+7KjkoLmoqW3/Xw4LsKe3Zs6/X95p6Sl5vDi9X84fP/wOED+1FfL4o7vguVFnT048eYOXUS5s2eidinT6RR+SLQ3x9jR6ljcP9vcdPR4ad6eYKuUVlBZ2ZmYuP6dTzYnhrT02wtj1C+or2dLc9HnDBmFJ6LfMS3opKCfvHiBS99O6T/dzA1NpL7rJGamhrmT5/i+YjLFy9AUVGRdEXwOiopaCcHe2gMH4Jd27YqTLJqWWkpfli7Gl/89hNe1Kav9snlHZUT9KPICEybPBHfz5yGpKREaVQxoL3ySeM08eevvoC72J/uEpUSNG19aS1fhtFqI3D/nqc0qji0sAXhTUd7nte4fs0qpKe/Xn9aoDKCrq+vx9FDBzF8YH+YXDOURhUPqrrkYGvDRX344L6f9XMRECohaNrqokztkUMG4fD+vQpf5KWFLWKPHz0C9Zf9EeV0h6YvUAlBP34UicnjxmDl0kWIV5Jtr4KCfGxYrYWJY8e8s7aeKqH0gqbotTUrl2PsqJHw9Zbf/eb3ISIsDLOmTcGSBfOQnZUljao2Si1oKqqoc/QwBn77d1hZmn9wPQ15g5IPyJVSHzEURw7s73adPWVGaQVN4rVmIqYj4yOH9vPDFGWEknfPntbjlVCpiOS7KqEqO0oraD8fH0war4llixcgO1u5H8fU42XTD+ugqU5ulfdHSxuTR5RS0OlpabyJz/jRGggJCpRGlZvY2KeYPX0Kv4HpAEZVUTpBUxOfg/v2YPig/rAwM1WZLS3Kh7x39w5PITu4fy9KS1TzaFzpBE3BRkMHfMcXSa838VF2qFMA1fWgQxcjwyvSqGqhVIIOeOjH06hWLV+K7KxMaVS1KCsrw4/r1mDcKHV4sRlb1VAaQVNf7YVzZ2PqhHEICgiQRlUT8qHnTJ+G72dOR/wz1YqfVgpBV1RUcL956MB+sL1xnR8NqzqU7DtulAYvZVZRUS6NKj8KL2jabzYzMcag777GyePHuLgF4EkLVy9d5OV6r125rDKtLxRa0LSyf3DPC6NGDsNarRXIyc6WrggISvqlzlujRw6H9/17KrHjo9CCfvokBovnf48pE8YiJlrUguuK2KdPeeHJubOm93kBnY+Bwgq6uLgYe9jsQyGh1J2VZmvBL6FZ2cfnAS+ovmPLJvYUU+5TU4UUNAW5X718iReHOXFMGw319dIVQVc0NTfBwswEIwYPwCUDfV4UUllRSEFTmVuq/aa1YpncFYeRV2ixvGfndl5azEWJ+7konKATEuIxbfIETJ0wHlGPHkmjgu5ADZDmUQOkaVMRraRrDoUSNBVV3Pzjen60S36zoOf4+nhj/CgNnu1Cxd2VDYURNAUdXbl0kReHOa9/ViSHfgDmJsa8Q4Hu8WNK189FIQRNK3Uvz7u8qCIVL8zKzJCuCN6H6uoXOHJwP9+/d3G+pVQ7RAoh6Ccx0Tx3bjrznaN503jRUOdDobWI1oqlvMj705gYaVTxkXtB02y8ic3KI4YMhCc18VGR+ObehrY+eVbPuDHYsEYL+UrSb1yuBU1FCqmo4qB+3+DyxfNoalTtfDlZQ3EwNtetMWxQP5zSPaHw9UoIuRb0rZuOvJgK5ctRnK9A9lRXV+OEzlF+4mpvZ6PwQUxyK+joqChMmzQBM6ZM4vEIgt4jLzcXWsuXYsbUiQgK9JdGFRO5FDT1u169cjnUhg6Gu5urNCroTSIjwrk/vU5rJbIUONtH7gRNRRVP6GhjcP/vcOm8gVgEfkTIn6aOBtqHDirs/rRcCbqlpQW3bzrxjO3dO7ajWFSq/6jQIpGKqasPH8qL1igiciVoahpPOYELvp8levP1EeRPr1vTWQQyNDhIGlUc5EbQuTnZWMv8N7Vhg3HP8y7aWkV8c18RFhaK2TOmYdmiBQqXBSQXgq6sqOBxzf3+/jdejFzZ4gsUDToKd3J04EFgRw8f4kflikKfC5qKC163suBBR5SBUlWl+Jv7ygAVgTx35hSGDezPPx9Fqdza54L29/PF5PFjmd88m8frCuSHvLxcHgw2YYxGZxFIBdhx6lNBZ2ZmYNXyJRitNhzeD+5JowJ54llsLE8IWLl0iUIUrekzQZOfTE1vKE7D8PJF0fJXTmln/vRdD3deCoH6jct73ZM+E7SVuRkGf/cNz3N7wfw1gfxC65xzp/UwasQwmBhdk0blkz4RNNVsHqM2EksXzkdyUpI0KpBnqHPthrWrMX60Oh7ck1/38KMLOiMtjTe5Gc8WGn6+3tKoQBGgIDHqwDt31gwkJcpnF96PKujKinKe+kN16CwtzNDYKPabFQ0Pdzc+GW3fsok3ZZI3PpqgaR/TwtQEA779HybqfSgtK5WuCBQJ+hyvskX8iKEDYWx4lfnX8rU//VEETfuXL4sqUg+QzAyR5KrI5OXmdBaBVBsBbznr/fhRBE1FApcs7PSbI8JCpVGBIkP70wvnzsH8ObPkqghkrwu6nPlZ+/fs4sXIb1hboq1N7DcrAzQr+/l4Q1N9BHbv3IbcnBzpSt/S64ImP2twv29wgIma8tcEygPlH5oZG/F8REpibmjo+6KZvSpo8pvVhg7CkgVzkZGeLo32kPYGNJblITuzCOVN7RD5K/JFVWUldm3binGjNeDm6iyN9h29JujEhATMmDIREzRHIyTk7YHiHcwNaWWr5xbpe7Q1oqlFKiZTVYDcR14Iig1B6PNa1IqdPrkjJTmZ+9LU+LOvi9b0iqBLS0uwc+tm3gTSwd5OGn2NjhLkJkYjMiAIwQGheBSThhL2CKspTkViTCiC/QPwOCUfGXGpSPaxwr14D9z2K0e5aKEil/g8uM+j8jas1eKnin2FzAVdX1ePa1ev4O9//TMO79+H6jc1jW/wg5uxPrS36+Gi4XW4BqWiqK4KWcE34erhittXDkLvvBWu30tHcbQXHkb6IyixFjWKEZarkpibGvOt2TN6un0WPy1TQVN5Ke/79zFsYD8eyHLdyhIFBQVdLBaYJ1zlg/suzrC+EYyo2GTkVNSjibke1WWleFFdiYoIExhfM4eFfyU6WpvR3NSI5tZ2UdVOjqmqrIL2wQMYzUTt4ebaJ0UgZSpoKqo4Z8Y0jB8zCj7eD7g/pX/2DL9zyQ15hdokxIYFwdfTHbfMr8HwmgfiqjtAb0FjdgR8zY7hjJETvNNEz0FFIj4+HlrLl2Hm1Ml9UiBIZoKmZjRbNm7gqVRUjJz2KemxQ5vuZiZGMDW+9kqB7ZaSDGRl5yCvqghZvo5wOKUN0+gCJGbXobGyGAUZD3Dd1Bw3HUR3K0WCPveHvj58M2DjhnU86+VjIhNB1zG/mWZiCjo6rXvyF0mutOlOora2NEeL9BhqTfGC2y0XuDyMwKO7jnA0NsTtJzFwt7SB58NwPI60w+VzF2BqG8dfL1AcKH7axtqKuZ4DcOaU7kctAikTQbs6O/OyXWtWrUBBftdtDijckCrwJyWn8OyUjtLHCPb2hPsdb/g/DETI41QUV+ch3tcD3j4+ePjADZ6+kXiSKyqOKiJUOVZH+wgvUu9gZ/vRMpI+WNCxT5/wQuSTxmkiMjxcGv0l9WzWDgsJgb2tDc8o/gm2EGx5fe3QyhaAL/ehBQoLuRsrly5m66qpCA0OlkZ7lw8SdElJMW9JTLsat5wcpdE3k5KSDP0zp1FcLEp8qQoUjDZl/FisX63VjXiPDnR84Dz23oKmJj5UjHxI/29x/tzZbm3RZGdl8ty00pLXdjwESo3tdWuMHaWG40e10cz861dpReOLYhTmZCEnvwhFhQUoLMhj7mczmt8jzuG9BE1BKa7Ot3mbiK2bfkRubvcirdJSU3BS5ygvlytQHajTr87Rw7xcBYn7VRpQ+vAKDI8dwhHrIATcvw03q9O44pqEjPdIiOmxoGlbhor4jRutjs8++RVOHDuK8LAwPPTzxUPfrs3fz49ftzAzxaYN63kn08AA/y5fK0z5LCw0hO9yUb/xiZpj+Nj/PtHb0BR6EeYGp6Btm4j0EHd4hgTAKzQT5VU9P4PosaCLioqwa/tW/Ns//V/86cvPsWje91i7aiWWL1n0RltBXxctxKypk/n+5OL5c7Fy2ZIuXytM+YwWhmtWLsdg5p7+yz/+A1avXPbqOuq5DZyNT2LrUTu4GhniVnoDKpqZ4N8jE+btgv65hy79sb6+Fq5O9tA/fQqWbMal421zUxPeHP2Nxq5Ts0cyS3MzNmbKx7p8rTDlM/ZZW1ta4NrVy7yfC9XKq6j4mT/BBO1ipIudBg8Q5HUfESWtKCsuRGt9nfSC7vMWQbejtSoLcQG+CAqLRFxKChJj45Ccmg+xMyyQHS2oDTyHqzqHsc8+DdlJUYgM8oCF1T1k5/TciX6roJvyI2G1UQsHDQxxMzQAnjZXYHzNEq6xlWgQ28QCmVCHogATGJ3Uho6FN7zdbeFgqI1jFmFIKvwpQr7bvNXlaKsvgc/RfTDz8kd8aytamp8jytMIR7Rd8LyySUS+CWRAB9pbW/h2XlNzC1paKLKyAY3Mh257D4G9XdCNlQjQPYLrvmHoLHRbhfQgG5zcaAD/olrhegjkjncK2v/kYVj7hiKFj+Qi3scYh3ZYIqa0XuT3CeSOtwi6FU15ETBfsxi7T12EfVgI/FxNYcFWqsZeGahsevfJoEDwsXmLoNvQUpaEUGdHuHl5I+RJNMJ9vREY/ASZfZ+tLhB0yVtdDoFA0RCCFigVQtACJQL4/6+1YfpsTq80AAAAAElFTkSuQmCC)
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,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)
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,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)
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