Maths-
General
Easy
Question
Find the perimeter of the following figure.
![](data:image/png;base64,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)
- 25 cm
- 28 cm
- 30 cm
- 32 cm
The correct answer is: 28 cm
Perimeter of the given figure =AB+BQ+QC+CD+DS+SE+EF+FR+RG+GH+HP+PA
=1+3+3+1+3+3+1+3+3+1+3+3
=28 cm
Related Questions to study
Maths-
Find the perimeter of the following figure.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHEAAABUCAYAAAC1H9hVAAAQsklEQVR4nO2ceXBV53mHn7PfBYmrXUILQgK0YIGQxSKbIAwGLypJsLFDiOOlSWOPM62n6TRJx5nUncRuk0k7E7t2p3bjhjixaaA4NtgmBmzAYhW7EEEghNCKrva7aLn3nnP6h5AsOXGRZSEdbu7zjzS6d8559f2+3/u933KOYJqmyXXw9Qeu95UIU4g41QFE+PxERAwDIiKGARERw4CIiGFARMQwQJ7Ii02zqRN5uQhjJOLEMCAiYhgQETEMiIgYBkREDAMmtDq9eTExTRNDN0AQEEQRURCmOqgxExERMPUgvT3tnPtDDTjjSUnPIC1u2lSHNWZuahF1XWeg14u79jQVlXXE5ixhYX4WMQ6Vz2IkPeDl3N632V1n4NA96HGFPPTQ3cQqIN8Ehrz5xkRTJxQcwOf14W1v5ELlUTa9/h4NV+vY+sZWzrs9GNffIh2FgUZ28Z08+OCXWb5sNh0f/o6LXQa6cYP+hwnmpnOiEeil7eIx3nz3ME2eHjquXqUv8x5+unERH259g83vHGfhE3diEyXGaiJFs2FzOan8zascq2mlJ6OYTJeIfJN08ZsiTD3Qh7ejhapTx6mua6a5rY5d5RdY/eUNfO2+1YhN5/GoLhYU56IfepdjLQP0BcdgI9Okr8dNe1sHfsNBbmEefr9M/vLFJKkgCgAmeihAV1srHZ1deHoH+IxGv+FYxommYWCaBqYgIQrCiDHNwNvZxAdvbmbvmQbkhDxW/cUK8hP30iNMozCngKUf7mPXWQ9ls+bzlRVncLf6MBNt178nJqG+Zv73jQ/IW3U/uWmZZCUe5mqPOjwWBvr9dFypZM+HFXSbTmbOK6akMBshZKCoMpqqoijSlFazlhFRD/XR3daO7kwiLkpDloYaJUTNmaPsrJ3OMz9+Eg0B0xggqTSTTfvOk31/IV9cfzvPf1TJQG4pyx79AYasII2hTQUEbI44ooUuXnv1F+RO7+JcZxzr8mKGv9PTVM0bL/wH/cseptDZQeVvnqXb/y2aztYzOz+DrLnzuCUzEVWRbkzDjIEpF9E0dLqbL7Dnra3sv9JHb7uXDU/9LbfdkoVDApAwdZ2gHkSUFWTdw9kdL3El7namHz3E5a6F5Bbez/fyJTRVQVTkUWOEYRi0t7dTW1uL2+0mJyeHGTNmEBUVBYKA5Eig7KHHyTx5kmYP3FV0K+mJrqHo6Gxzc45sfrByIdMVyE+O5kzlcXaea8Ib6qB822ay1n6N2Q6BhBnpFORmosljH48ngqkX0TTxNR2hIZTGxoeWcPyNf+N41SXyM1NwTLcDImlZc8kKHGDb7sPMi/Zy4kI/uQ8V82BaKtOTncjaNFza6Ov6fD46Ojo4ffo0+/bt49ixY4RCIRITE1m2bBlLly4lKyuLmJgYomKSWVy6hqABsiyjyB+7ShQlNEWgu6uDgYCPCz1xdDXXU3jvBlbP1dj/8mHOnDhDr62LmnqF7/zk75kTLaFMoopTLiKCiBqbQ+nyKBLtbfzizHm8bb9n5sws7i/JQhYEEmbm8c0n1vHCi7+mghRWrHuE0pxEbFLiteJjEF3XCYVChEIhjh49yssvv8yBAwfw+XzMnz+fgoICdu7cSXl5OYmJidx55518+9vfJjU1FVmWB50sjvSxQGJ6JqUJ2/jxMz9CDwnMWH4/9oYAD6xPI8Zso34gmccef4i4psO89NMddAZNQiaTKqIwkedOx7UpbJoEgwEETEI9lzl0tpP+poPsPtjGF7/3IxbPULFJBnooSG9fPyYSsqpit2mjBDRNk9raWg4cOMCbb77JiRMncLlcLF68mBUrVpCbm4umaXR3d1NRUUF5eTknT54EYPny5axevZqVK1eSkJCALH/ct/VggIF+P+2tLfQKNpxCPa9vqeWrD99N96XDvLi9iR9//6tc3Pc7XvrI4OfPPopLU8c0Jk8UFnCigKJqDPi66dOd5M5PoSPKx4zDr+PtN0AAQZSQVYlodXTFaZomHo+H5uZm9u/fz65du6ipqUFVVcrKyrjtttvIyckhNjYWRRl0WXR0NAkJCRQVFVFVVUVFRQWnT5+msrKS7du3U1payh133EFqaip2ux1ZUXEoCqmOaAR0AgMxPPCVXOKj7XgMk6XLirGFeqhv7CJv2UqmSeKkCghWcOI1vK3n2fFfv8QzvwxXywFONUTzl997gpkOEXVEhjNNk2AwiN/vp6uriyNHjvDqq69y8eJF7HY7hYWFfP3rXycrKwuHw/GJ9DgawzDw+/2cPXuWrVu3curUKQKBAJmZmTz22GMUFxeTlJSE0+lE0zSEkdMII0RQNwgEdURPHdt2HiWj5G5KZicgS5M7/baMiHqwn56WGk7+oQHTHsfsvDzS46MQBUZVerquU1tby6ZNm9izZw+XLl0iJSWFdevWUVJSwqxZs1BVFUmSRjf6p2AYBrquEwwGaWho4ODBg+zevZuTJ0+SmZnJypUrWb9+PYsWLULTRldPw01n6gSDBogSijK5lSlYSETMwcYMBIMIoowkyyjXerSu6/h8Pqqrq3nnnXd466238Hq9JCQkUFZWRklJCcnJyTgcDhRFGZN4f3R70xy+T3d3N8ePH2fHjh20trYSDAYpLi5m48aN5Ofnk5aWhiiK47rPjcA6In4CwzAIhUJ0dnZSXV3N4cOH2bFjB263m7S0NBYuXMi9995Leno6NpttQhvUNE1CoRDt7e2Ul5ezd+9e6urqEEWR4uJi1qxZw4IFC0hOTiY6OnrC7jteLCtiIBCgtraW5557jr1799LR0UFeXh7f+MY3KCkpIS4ublKcYBgGfX19NDQ0sGXLFrZs2UIwGKSgoICnn36asrKyGx7D9Zj66vRTcLvdvPDCC1RUVFBUVMQ999xDYWEh0dHROByOSUtloihit9uZNWsWTz75JGvXrmXz5s1cuHABt9s9KTFcD8uKODAwQH19PYIg8Mgjj7BgwYJxj3efF1EU0TQNTdNQVZWioiLOnTtHKBSa9Fj+FJYV0TRNDMPA4XAQFxeHqlrjdLkgCMNFjVUKG0vvJxqGYanGGmKojPj/5qCTiTWiuA5WE9EwBjecrSLihKZTM9SP1+vB3daDbI8iMSEWm6aOWuMc87VMkzEUzpPOyLjCUsRARw2vvfQK759rB8PB4z98mjtuycQ+zv3SoXRqNcLaiV6PGzX7Dv7pvkwu7dnEvmNNLJyZiGl0cvzYKbymk8SZ2RRmaJw/30h7Vwed3X1kzp1Nf5ebDm+IvOISUmMdwGCvj4yJ12din09MXsD9ZTpNZw9zsaGTGXMceLraqPxgM7suDxA/TaTzSC1JjxXw21c34VZjmSG0sn1vHJlJ0xE7azjZZudb9xUPpy2rNNRIRjvRxNBDBEM6uilg19RJ73QTKqLmjCEUrONy1RkOnaphTn4nXTHdvFXewuP/+gwzlRBtFy+hmCF6A1EsWr+ejZmN/NV3PmLJo2tZpBzn+/9dReeaechY34mCIGAaBv0eN1VVF/HZUllSkIlNlSf14NSEdvOrF0/S2ClS8uA3ef6Zb9J27BhV7i5CkoJDFDBDIYyAB2+fAaKTaVEqgiSiKHZUTUKQRIQRxYwVnTg0fwUQzQEC7ad4/p9f4GhNMz1nt/LsS+/R1O6d1JgmtrDxXGLrB0dZvqKI3kuNEJvG3Jmp+Fx+tu4oZ1FsF+++XcXGp8qQRBFRHHSZMPSTj7edbop0KsmIiouFq9aSlOxAbnfz+6qr9AYDdLc38sH2t6lr7SQqewklRfMI1e6mus2grq4FLTaZRRkq+081k5C7hA1lS7FrKuOpASe0hWZk30qGeIWfPfsvvPheI+vXr6Awdx4bHl1H+55f8p+bD5G+5kvMS4hmdk4GsTYVQXUxNy+DKE1FtCeSNSsZ27Wj11atTocLG9mOEpPFmlUFeGsO8e8vvk9Mfi5OqZ+aI2/y2wNuSkpvR2s/x84Tl6ipeJ/dp9xkFCyg7t2X+FWlSFZWMuW//g1V/gGC45xRTagTZVcGDzz5NPc87AfZRnSUE0WWcOSW8o8/X4yBiKyoaJrIw0/kAqAo6Tz13SIkEWQpjb/+lomqSNR0DjpxrJu7k8nowkZAkJzML13LtBlpvPjKNurm3EdfYwu3rPoSc3LzmF9QjMfbx7H6RBbetohbCzJoyygg7t4SCowmKh2H6EVgvI9+TKiIgqhgdyrYnVGjPxBVoqJHr32O3CS3jzg647B//PtQYWM1hp1oBum9cpBXdvVQdvcCUjPmopnbCZgiNrtGV+tV+v1J1Ned53RPEi5dQNNUFFVFllU0TUEJSciigAmMd2nDsgvgYO3qVBAERMFEtGn0XfqI7TtaSFV7cGSXkJ6ejuL6Asqv9rJrZwNdfomkeSk4p7vos9mwqyrRsfHYVAW7YmeaKxabLI1rPAQLiziysLGakMPpVHViS1zId344l9aWq/glF19KiUFVRDDT+dGzyzABQRAHU29pPqYoIYkCG/7hhwiygmjG89TP8pEUZVzLk2BhEcG6hc3HY6I0ePjZ5iQlYxamCbIiD1bYAiif3D4bcQpOVq59Jggo6uerLy0r4iedaCWG0+nQ9EcQkafwYUbrTcI+gRUFtNoCuDWi+BSsn06t0XzWiOJPYOUVmz9Kp1OMNaL4FEYuNFuJISdaJS7Li2iV3j6SSDodI0Pp1Cq9fYihwsZK6dSyUwwY7USrnLex4hkba0TxKVjRiRBJp2PGqukUrCeipdOpYRgEAoHhx82sgMfjob+/31IdzNIiCoJAS0sL27ZtY/r06VMdDgB+v5/q6mp0XUeSpu7dNSOxrIiqqhIfH8/ly5fZvn27ZRrMMAwMwyA1NfWPnhyeKiz7fGJPTw+VlZX4/X50XR/nVUxMw6DP10NXt4egaCcxIQ5NGdwOGi+CIOByuYZf6jDVWFbECcE00ENeKra/zkcXPRiGSP6qB7hjfirTbMrw1wxDx9ANDEASJQRh8G+DTTP4JmLT0BEECfHaAS8rYY3y6kahDxBqOcb/7OlhSdl9PLo2hbc2/Y4r7pFHCk0CfT7arzbR0NhCt8/PQKCfDrebq02NXL3aSk9PNy2NjbS2ddIb1Md9jOJGYdkxcUIQFeTEIv7m77LpaKzknYNHcWaswKZdc6FpEvC2cmTPu3x4oZeZUQH80XNYdEsUm59/jTmLb8XX6abNA/PyUmho8DF39QM8sCgNwSLTCwh3JwoSohpFemosQU8HF2ua8fi9GMbgGGtiMtDTwImz9cxbspK71qxiYVY8Xr+X5m6BJbffzvzZcdR2aJSu+AKzpvkoP9NuufedhrWIpmmg93ZxpTXAgjUb+O5PfoLz8i4am1oHU6Jp0uvvANlO2sxM4tJmkz1zBgmuKFzJ6STExhMXm0ByairxMTFEOVQkU2f859JuDGGdTgUzRLC9kud/up+7vraWTLmeXiURm2PwTfuCIBAVl42T/ez/qBwppZM9p7tY8IXZUxz5ZyOsRUQQUZIKWHvbKfbt2MJhWWPplzcyO9V17TCTgC0qkZX3rGbLtl28Xa1QdNc6suNM5hfk4HQ6iYlPZl6OgKo6SE7LJFdOQBCslcDCe4pxDdMI4ff5CQgqMdMm9sVFViC8nXgNQZRwRkXjMK2zGz+R/FmICIMvhg9D/YAwr07/XIiIGAZERAwDIiKGARERw4CIiGFARMQwICJiGDChk/2xLs9FmFgiTgwDIiKGAf8HPhjm8xqp4McAAAAASUVORK5CYII=)
Find the perimeter of the following figure.
![](data:image/png;base64,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)
Maths-General
Maths-
Find the perimeter of the following figure.
![](data:image/png;base64,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)
Find the perimeter of the following figure.
![](data:image/png;base64,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)
Maths-General
physics-
The figure shows the variation of ‘V’ with ‘i’ at temperatures T1 and
Then
is proportional to
![](data:image/png;base64,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)
The figure shows the variation of ‘V’ with ‘i’ at temperatures T1 and
Then
is proportional to
![](data:image/png;base64,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)
physics-General
physics-
graphs of anichrome wire at three different temparature
, and
are shown from the graph,
![](data:image/png;base64,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)
graphs of anichrome wire at three different temparature
, and
are shown from the graph,
![](data:image/png;base64,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)
physics-General
physics-
If each of the resistances in the network in figure R, the equivalent resistance between terminals A and B is
![](data:image/png;base64,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)
If each of the resistances in the network in figure R, the equivalent resistance between terminals A and B is
![](data:image/png;base64,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)
physics-General
Maths-
If
and
of
then,
If
and
of
then,
Maths-General
Maths-
From the given figure ,what is the value of ‘P’ ?
![](data:image/png;base64,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)
From the given figure ,what is the value of ‘P’ ?
![](data:image/png;base64,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)
Maths-General
Maths-
In
D is s point on
and AB = AD. Then
![](data:image/png;base64,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)
In
D is s point on
and AB = AD. Then
![](data:image/png;base64,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)
Maths-General
Maths-
In the figure AB = AC and BC = BD. A, B, D are collinear and
= 30° then
=
![](data:image/png;base64,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)
In the figure AB = AC and BC = BD. A, B, D are collinear and
= 30° then
=
![](data:image/png;base64,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)
Maths-General
maths-
In the figure, AB = BC = CD = DE = EF and AF = AE. Then
=
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIwAAABYCAYAAAAnbx8HAAATf0lEQVR4nO2de3SU9ZnHP+9c3pnMTGZyGUKuhiEBAmgIpiFEQMPFhhZhQVyMYj3xD8/SFXW3W8/Wnl0PXVs9pdruwWObulkLlsVNeooKHKhazAYpiGDA0IDEEAxMMnEISSa3yUzey/6BE4skIZNALvB+zskfycz75veb+c7z/J7n+f2eETr8AZWbldZyfv5vn5D57NN8J9n41d8+4fcv/J6uB37Bhlzj2I5vAiLc1IIBfEf/l+KyT/i814CxV8IYl8Q9y7/H2tzYsR7ahOSmF4zG9UU31gPQmFhogtEIC00wGmGhCUYjLDTBaISFJhiNsNAEoxEWmmA0wkITjEZYGAZ6wGYWR3McGqNEZ09wRNdrFkYjLDTBaISFJhiNsNAEoxEWmmA0wmLAKEmjf+RgJxcvnKH6iy6sVjPmiAgCOMiamYhJvPLllCSJlpYWvF4vwWCw78fv9xMTE8Ps2bOxWCxjNJPhoQkmTBSlF3/LUX7x4iHWfH89mbZ6Pq53MHt6PKZvPFeSJHbs2MGBAwcIBoM0NzfT1dWF2WwmPz+fH//4x5pgbnZ0egGTVYf3UieB1i4cadMonBGD2Xi1d9fpdOTk5CCKIl6vl61bt+J2u0lMTGT58uWI4sTLdWlrmGGiyj4q9u3j8MkGnMmJGPT6q55jMBiYNGkSLS0tFBcXEx8fT0ZGBgUFBSxYsICIiIgxGPnI0CzMMBF0Vr6Vv4Tbp8XR1XwWS+xUDMbLpxAURaG9vZ2KigreeustfD4fmzZt4sSJE5w7d46HH34Ys9k8xjMYHpqFCRNVUQn4wem0E5PgJDZC5vCHR/EHJVRVpb29nU8//ZTf/e53lJSUIIoiGzdu5IEHHqC9vZ3s7GxycnLGehrDRrMwgKrIyIqCioBer0cnCAM/FyMRUXfyg3+ZgiM2mi5Fh+jMQP4qIvr4448pLi6mpqaGZ555huXLlxMfH09nZyeLFi1i/vz52Gy2UZzd9WXAYya3SvFRVWV62z3UNbShiDbi4uOIsUYMLBpVRVUVZOXyyyYIAr29EjU1Z/jNb37DRx99REFBAU899RSxsbEYjUZ0Oh2qqiJJEjqdDn0/653RYqTFx1taMLK/lS9rP+Inrx1jxcMPMi+xm2Mf/h9L1n4fS8Q3g+SvUVWVlpYWqqur8Xq9eL1e/vCHP5CcnMxjjz3GzJkzmTRpEgbD+DPgIxXM+JvRKHLJ8wVv/upXtM/+JzJc8UTZepk7LxfRMPjSTpZlSktLeeONN2hubsZut7Nq1SrWrl2Ly+Wa0C7nWtzagqk/zd73q1lUNB1bVCRms0DS9PlA/+5IURR6enrweDy89dZbVFVVIQgCycnJbNiwgfj4+NGdwBhwSwtGZ7JgFcHXGkSWVdSvnHN/yxdVVenp6eHQoUP88pe/pKGhAbvdjiiKLF26dMJlbIfLLS2Y5OnZPPmD+3nx7d3U3abHMNlKZ1szU6bdjtH49UujqipVVVVs3bqViooKFi5cyObNmzEajZSVleH1epFleQxnMnrc0oKJcDjJW/fP/GvaOYxSD909RiyOuL4oJlT/2b17NxUVFeh0On74wx+ycOFC4uPjURSFrKwsDh8+jM/nw2azYTTe3C1Ebuko6WtUgsFeUMFgNCAIAs3NzdTW1vL2229z9OhR8vLyeOSRR0hLS+urAQWDQY4cOUIgEKC+vp6VK1cSFxc3xnMZHC1Kui5cTtj19PRwqeUSoihSWlpKaWkpoijy7LPPkpubi91uv/IqQcDhcGA2m9m6dStTp04lNjZ2TPMsNxrNwnxFY2MjL7/8Mn/84x+RZRmXy8WDDz7IunXrsNvtfQm4v0WWZerq6vjyyy9RVZWamhpWrFgxrqMl7dTAdUBVVSoqKtizZw9utxuPx8Pq1aspLCzE6XRiMpmuEgtc3r4QERGB2+0mIyMDv9/P8ePHx2AGo8ct7ZJ6enq4ePEiBw8epKysDL1eT2pqKlFRUaSnp2O32xEGqSsJgoDBYKCtrY2IiAgyMzMpLy8nMzOT+Pj4m9I13ZKCUVWVzs5O3G4327ZtY/fu3SxdupT169fjdrvJyspCEAQ6OjqIiYm55v0URQFg7ty5NDU18e6777J+/fqbUjC3nEtSVRW/309paSmPP/44R44cYcuWLbzwwgssWbKEnJwc8vLyEASB8+fPD+meIWHYbDbuuOMOTpw4QTA4srXCeOWWEozP5+Pw4cPcf//9bN++ncLCQrZt20ZeXh4Wi4Wuri7OnTuHTqdj7ty5eL1e2tvbB72nKIrExcUhCAKCIJCUlMSyZct488038Xq9ozSz0eOWcEmBQIC6ujr27NnDhx9+SFpaGt/97nfJzs6+IqKRZZne3l7gsrWYPn06p06dIjc3d8C1jMlkIiEhoe93q9XKvHnzeO6558jLy8PpdPa7YJ6o3NSCCQaDtLS08Ne//pXXXnuNtrY2VqxYQWFhIbGxsVdtP5AkicTExD5rYbVa8fv9BAIBRFHs9403Go04nc6+3/V6PQ6HgzVr1lBZWUlCQsIVj090bh7p/w2KotDb28uFCxd46aWX2LBhAzExMfzsZz/jqaeeYvLkyVeJJVRczM7O7luTxMbGMn36dD777LM+y/NNdDodZrP5CgtkNpu55557OH/+PMePH0dVb55WyDelhWlubua9996jpKQEq9XKli1bmDdvHpGRkYOGyYqiEBMT0/ccnU6H3W5nz549pKamYjINvqkqhCAImM1m5s+fT1VVFbm5udf83xOFm0YwqqrS1dVFZWUl27dvp76+nhUrVvDtb3+b9PR0LBbLoG9YS0sLwWDwKrdjMpm49957aWpqwmw2X3U0RBAulxV8Ph+iKPYVH0ML57q6Ovbu3csDDzwwLnfghcvEnwH05VQOHjzIrl27cDgcbNy4kdzc3CEXAy9cuNCv6zAajaSmpnLo0CGcTme/gjGZTNTW1hIZGXlFtTo6OpoFCxZQVlZGR0cHkZGRE140E3r0sizT2dnJyZMn+e1vf0t1dTXr169n3bp1JCUlhRWdXLx4sd9NUCELIooidXV1xMTEXJGQEwQBURQ5f/48U6ZMITIysu8xvV5PYmIis2bN4sCBAyxZsuSKxyciE3bRK8syTU1NvPzyy2zcuBGTycTrr7/OE088EbZY4LILGezoalZWFrIsX5VbEQQBo9GI1+slEAhcdZ3D4WDevHm8/vrrNDQ0hDWm8ciEtDCNjY2Ul5dTXFxMdHQ0mzZtIjs7m0mTJg37RGFUVBSJiYkDPi6KIpMnT6auru6KvAtcFk2oPPBN9Ho9cXFxFBUVUV1djdPpnNBh9oQRjKIodHd3c/z4cd5//32qqqq46667WL16NbNmzbpmoXAwVFXFbDYTGzvwdygJgkBUVBRut7tvd93fuqbB1iZms5kFCxZQUlKCy+XSBHOj6e7u5tKlS1RWVvLqq68iCAJPPPEE+fn5Iw5XQ7Wl0DplMKKjo0lPT+fIkSPcfffdfYIRBAGn0zngvt7QoXyXy0V5eTlpaWk4HI5hj3ksGddrGFVVkWWZ48eP8+yzz/L444+Tn59PSUkJK1euHJFVCSFJEidPnhxS6w2dTofVauXixYt0dnZe8ffU1NQB3RJcFlVBQQEWi4WDBw+OaMxjybgVTDAYxO1289Of/pQf/ehHWCwWPvjgg77zP9crCSZJEseOHRvy5m2r1Up+fj4ej6dPNIIgkJKSgiRJg15rt9vJysqiqqoKSZImZAZ43LkkVVVpamriL3/5Czt37kSSJIqKili0aBEulwuDwXBdM6aqqg6Y9u+PkHuprKwkLi4Om83WV3fy+XzXvNblcnHixAl27drFvffeO+HC7HEjGFmW6e7u5uzZs/zpT3+ioqICp9PJ008/TUZGxg3z+aqqkpKSMuToKhRGu1wuamtrcTgcV2zhVFV1UEHHxsaydOlSNm/eTE5ODlardUJVs8dcMKGuBm1tbVRUVPDrX/8avV5PUVERa9euxWQy3dAajKIo3HnnnWEJUhAEZsyYwYkTJ/B4PEyZMqUvtJYkaVD3ZjQaiYuLIycnpy8RaLVar8dURoUxF4wsy3zyySds27aNiooKHnroIR5++GGSkpJuuFhChNpyhIPBYMBiseB2u5kyZQp6vZ5AIIDP57tm2Gyz2Vi5ciWbN2/GZrORnZ09kuGPKmMmmGAwSENDA6WlpRw4cICEhAReeeUVbr/9dqKjo0elYaDf7+fChQukpKSELczQIXyPx0NTUxMxMTH4/X7a2tquKZhQMi87O5vq6mpmzJgxYTo+jLrzlCSJpqYm/vznP7N582YOHTrE4sWLeeaZZ8jPzycuLm7UukuG6lDD3axts9mYNWsWx44d61s8d3V1XfO60GmDxYsX097ezqlTp4b1/8eCUbMwoUxtc3MzZWVl7N27l4SEBJ577jkyMjLG5BMWsjDDRa/XY7FYMBqNdHR0EAgEwoq4EhISSE1N5YMPPiAzM3PAXX3jiVETTCAQYN++fbzyyisAPPbYY6xbt46IiIgxe5FkWb7mPplrERkZSVZWFmfOnKGrq4vo6OghX6vX65k7dy5nz57l6NGj5OTkjPvumjdcMN3d3Zw5c4YtW7ZQU1PDsmXLeOihh0hISBhTscBlwdx1110j6rig0+mIjo7mzJkzSJKEIAhkZGRgtVqHJMRJkyaxbNkyiouLmT179rAF4/P52L9/P1OnTiUlJWXQuthIuCGC6enp6aso19fXc/r0aex2O08//TSLFi3C6XSOaVsMSZIoLy9n7969uFwu0tPTh+0SQ+G0x+OhtLQUs9mMx+OhqKhoSG++KIrEx8eTnp7OqVOnyMzMvOrQ/1DH4fF42L59O3PmzKGgoIBZs2Zhs9mu64fyhgimubmZl156iXfeeYfW1lYWLlzIo48+isvlwufzXfOsz40k1Ev3+eefp7KykpiYGGbOnMltt9027Hv6/X7279/P2bNnUVWVHTt2kJOTM2QRBgIBpk6dSklJCUVFRVdtnxgKwWCQzMxMGhsbKS0tZffu3WzcuJEFCxaQlJR03Tpkjax7g6pwufuogE73tfndv38/hYWFtLW1odPpSExMxOVyXZcBj5SQYOrq6ujs7EQURebMmTOitYMsy9TW1tLW1gZc3jQ1bdq0sKIvVVWpra3F6XQSFRU17HWVLMucP38et9uN0Whk9erVPP/886SlpQFj3B9G7vLw+YV2bHGpJMd+reBp06bx6KOPsnv3bhISErjvvvu44447RjTQ64miKOzbt4/Tp0+TlJTEqlWrRpRtDWWrm5qakCSJ5OTksGteqqrS0dHBZ599xowZM4ZVClFVldOnT7Nz5046OjrIzs6msLDwujY5GpGFcX+6m1e3VnDbisfZsGxGX+/JQCBAc3MzNTU12O12kpOTx11iqrW1lZaWFmw2G06nc8QH50OiAYa1Pgtd39PTgyiKgx5p6Y+2tjZ27drF3r17MRqN3HfffcyfP5+UlBQsFkvf/MbGwqgKKH6+rKujoeEsp95+j79fOI1oUYded/loRlJSEklJSSMa3I3EarWSnJw8wruoBLvauNjopkW2YNKD3WFHb7ZhNRnQDdnAqMi9ARoav8CPCb3RhEnwIcamEG0xIA5By729vbS2tjJ37lxWrVrFjBkzbkglfFiCURWJ4KXPabTmMn/m55SV7+VY3XruTndgGcrsxhBVVeju6AC9AVXQoUgyVpsFnU43QHfewW4GPe2XOFr6c7ZdyuP+O/TUN7QzZ/k6CuamIBqG+FqoKrLUw0f/8yLl3TNZXrAYXeNJuuY8wncyrIj6a48sMjKSJ5988oZXv4d150Cgl08/qUM0+nGmpjI1spsd735EZ/fVu+bHFapCb3czpVteZEvxf7N9Zxn/+eobNPq6GXiv3CAIAkZBxdp7kQvtRlxZuSQp59j07y/Q0e1nyNujBB06vYjQfgGfv5cIZyJTZmUzO8qAaYhmSq/XX/cQuj/Cv7sqI3U3ceR0IwmpGczPu4e87Gn4qo/ibg8iDeuVHyUEAQQzraeP8nljF1FJdk6VFrPrtJf2wTfLDYIKKCiqgN5oJz4uiqb6Gpp6ZcK9paoqdDZ9zns7d3DgCz23xeoRw/ABo1HZH4ZLEjDaEliz7n5iYmPQKVbW/OMmFnVIJDkj+u2iPX4QAAHZ34W/4xJnP6vlomAnzmZm6OZgYFRVoleSMNmisOiEYZlvMTKOnAULcVhtmEUhjHXQ6BC+YAQdJrOF5ORQGG3CbLXjHL+NI/tFkcHhsIDcRdOXXSjpCvTzvY3XQtUZwGjFZhJQei5x4Us/C5Z+B6dJJIwsDADGiEgihcnclpbFnEQR41DXQKPImG+gGgsEQYc1Oo70mbezOMHLOwe/YOntKcRawkzeqSoyesSM5axLjKLFc4lZBd9j3bfmYTWHl4NRpADRd65hsZKARS8RYXGEvwgfBW6xPr0KwU4v//UfP+FzXTyuKTF461v5u394gtlJ0ViHYWEUqZdgwE9Q0aMTwGg0YBBNDCGwuQJVVejp7kJBj0E0YTLeGOuifcFWWKgoskSzpwnZYETV6VElhUlxTowG/bj8RF9vNMFohIXWCVxjVBlw0TtSJWrcnGgWRiMsNMFohIUmGI2w0ASjERaaYDTCQhOMRlhogtEIC00wGmGhCUYjLP4f5bJODH/iK+sAAAAASUVORK5CYII=)
In the figure, AB = BC = CD = DE = EF and AF = AE. Then
=
![](data:image/png;base64,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)
maths-General
maths-
In figure,
Then
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ0AAABpCAYAAAAgJSHZAAAQeUlEQVR4nO2d6U9UZ9+Ar3NmHxYHBFwQ2QKOBq2iuCEgWIx1iU1r7Wvi1libtJ/6pf9I29S0qRrb1LbxSShtXXhUlE3BhReFogIKCkUURdbZzsw57wc7vE/7oILArOf6YqLNOfeZXnPf92+5zwiKoii8hGGH62X/rKIyYUR/D0Al/NBO1YUijfqpupQKob3CqDOdis9RpVPxOap0Kj5HlU7F56jSqfgcVToVn6NKp+JzVOlUfI4qnYrPCXvpJIeNvgftPHG6kWT/jcMjy1yvv4HDGbqVCC9hL51r+E/OHz1EWcswDsnjt3HIssy1tl6cLslvY/AVYSydAngY6LpPr3aQ8n+do2fA5rfRaDQa3lyfi9lk9NsYfEXYSqfIMu7hp3T0OrGu20js/bPcvPcEt/JcR18jCgKp8Sa0Go0f7u5bwlY62eNm4HEnHe1tNLcMIuoHaL7RRL/Lg/zyFsNpQxRAEPxya58SntIpHiTnCH80XmNGxgZ27djOnv8pZuRePVeae3D5YW+nAPf7JGT/+O5TpqyfLrgQEAUZQ2QKsSkJREVGIKQuY/26BIx6AY3o++lGAJJidITBRIcwVe3qwdTEqSgKiqJgt9vR6/XodDq/jkeWPSiyjIKAKIqIoqg2cYYaHo+HR48e8dlnn3Ht2jV/D4eR3k4aLpVTf/0aIyMj/h7OtBNWy6uiKDidThoaGrh79y63bt3izz//RJZlRNF/3z8RD4MDA7j1z1MnoU5YSefxeHj48CFnzpxh9erVbNu2je7ubux2OyaTyW/iRcxKp3Bbul/u7Q/Canl1uVycOnWK+Ph4cnJyePvttxkYGKC2thaXK3T3UIFG2Ehns9loamqiqamJ9evXExMTw7x588jOzubkyZMMDg4iSaFfggoEwkI6RVHo7e3lm2++YefOnaSkpCCKInq9nhUrVhAREcHJkyex2+3+HmpYEPLSKYqCw+GgurqapKQkli9fjtH4//XNmJgYDhw4wMWLF/njjz94RQZJZQoIeekkSaK1tZW2tja2bduG0Wj8W4So1+uZNWsWW7dupbq6mp6eHtxutx9HHPqEtHTeFMlPP/1EamoqixcvHjMRrNfrKSgowOVyUVdXhyRJ6ow3jYS0dMPDw1y6dImhoSEKCgrQarUIY1TURVEkNjaWdevWcfr0aXp7e9XZbhoJujydInsYedTKH3cfMaIYidQpRCXMJ26mhZhII1rN8++RLMvcv3+fkpISDhw4QHx8/JjCAQiCgFarJSsri6VLl3L8+HE+/PBD4uLifPloYUPQzXSK7Ab7M2ovX2VIM4MY7RNKvv2CH2vaR7tDvMtqeXk5VquVRYsWYTabX3ntmJgYdu3aRUtLC3V1dciyH/vXQ5igk04ANBotWq0WvSmSWZnreGtNGpf+VUKXJOFSwOl0cvnyZfr7+9m+fTsGg2Fc1xZFEaPRyO7du6mvr6e9vV3N3U0DQScd/NXoKAiIohadMZLYuJnoHnXQ7ZZxSRJDQ0P89ttvLFu2jMTExAnVM3U6HUuWLMFisXDx4kU1qJgGglI6b2uSrMjIHhmHzY7LMpMEjYDTYefUqVMYDAZWrlyJXq9/4V5uLDQaDXFxcaxbt46TJ0+qKZRpIOikk2WZof6n9PZ0ce92E/W1F6m99Yj8998n2aCnpbmZ8vJyDh48iMViee37ZGRksGfPHr788ku6u7un8AlUgk46QdSgjZ5Fbn4+yXFmBFFH5pqNvJ2bSf/TJ1RXVbFp0ybmzp077r3cWJjNZgoLCzGbzVy6dAmbzaYGFlNE0KVMRK2e2NRsNqZm/+3vbTYbZZW12O12NmzYgF4/uU5mURQxmUxs376d0tJSli1bRnp6ul/77kKFkPgEJUni8ePH/PDDD8ybNw+j0TihfdyL0Ol0WK1WkpOTKS0tVdufpoiQkG5gYIDjx4+zePFiYmJiaGpqwm63TzrdIYoiUVFRFBQU0NHRwZUrV8KinXy6CXrpFEWhrq6O5uZmPv30U4qLi3E6nZSUlGCz2aYk3ZGcnMzBgwc5dOgQXV1dUzDq8CaopZMkifb2durr69m3bx9GoxGj0ciaNWtYunQpNTU1U5Lg1el0ZGRkkJOTQ1VVFUNDQ2pQMQmCVjpFUZAkiQsXLhAdHc3SpUvRap9XKgwGA5mZmaSnp3P16lXa29txOByvfS9RFDEYDGzatInOzk5u3bql5u4mQdBKJ8syvb29lJaWkpubS3x8/GjlQRAE9Ho9mZmZbNmyhVOnTk26QVOv15OVlYXVauXo0aNqUDEJgla6rq4uPv/8c/bs2YPVah3zvxEEAZPJxO7du3n48CGVlZXY7fbXlk8QBAoKCoiMjOTkyZP09/dP5hHClqCTTpZlbDYbly9fRqfTUVxc/NIOEm9Za+XKlUiSRHl5OYODg3g8nteSLzY2ln379nH27Fna2trUvd1rEHTSeTweOjs7uXnzJu+88864z6smJCSQl5dHbGwsp0+fZnh4+LWkMxqNpKamkpOTw/nz5yc1c4YrQSedy+Xil19+Yf78+Vit1gm9h8TbQbJo0SKqq6tpa2t7rRNgBoOBzZs343K5uHDhAk6nc8LXCGeCSjqbzca1a9doa2tj/fr1REdHT6gsJYoiERERZGZmYrVaaW1t5fbt2wwPD09omdRqtSQmJrJq1SpKS0vp6+tTA4sJEFTSdXV18cUXX/DRRx+Rmpr62tfxLpH5+fncuXOH+vr6CefyRFFk+fLlJCcn8/PPP6uVigkQFNLJsszQ0BCVlZWsWLFiwsvqWAiCgNlsZvPmzQwNDXHhwgV6enomdI2oqCj27t1LY2MjDQ0NalAxToJCOrfbzZ07d3jw4AFvvfUWBoNh0t0egiCg0WiIiopiw4YNmEwmamtrR0+CjSc40Ov1JCQksHXrVmpqatSGz3ESFNI5nU6OHDnCggULWLJkyaTblv4TQRAwGo3k5+eTnJzM4cOHGRkZGXdEqtfr2bBhA4IgcPbsWXVvNw4CXrr+/n5Onz6NyWSioKBgSlqWxkIQBBYuXMiOHTv4/fffuXXrFg6H45XyCYJAZGQkhYWFVFVV0dnZqUazryBgpVMUBVmWaWtr48yZM+zfv5+ZM2dO6z2NRiPJycmsXbuW9vZ2mpubcTgcL10yvcu01WolNzeX7777Tq1UvIKAls5ms1FeXs6KFStIS0vDZDJN+311Oh0pKSnk5eVx+/Ztzp07N65cXkxMDDt27KC7u5uqqio1YfwSAlY6l8s1WivdsmXLpM47TBRvZLt9+3ZmzpxJdXU1Dx48eGlaxdtk8MEHH9DY2Mjt27fVM7MvICClkySJZ8+eUVJSwqpVq5g3bx5arW+Pc+h0OsxmM8uWLWPu3LmUl5fT09Pz0n2eVqtlyZIlzJo1i7KyMpxOp5pGGYOAlG5oaIgTJ06QmJhITk6O317+7O1SycrKYuvWrRw7doy2trYXSqfRaJgxYwZ5eXlUVlbS0dGhplDGIOCk83g83Lx5k4aGBvbt20dkZKS/h4QoilgsFg4cOEBrays1NTU4HI4xZzFBEEhNTeXAgQMcOnSIBw8e+GHEgU1ASed2u3n06BFVVVVs3ryZ2bNn+3Qv9yK8b3WaM2cOq1atoq+vj3PnzmGz2cZskYqIiCA/P5+4uDgqKysnXNsNdQJKOpfLxfnz5xEEgaKiooAQ7p/MmTOHjRs3otfrX9giJQgCBoOBd999l9bWVlpaWtRl9j8IGOkcDgednZ1UVFRQWFhIdHT0tCWCJ4M3Sl29ejXz58+noqKC+/fv/1dCWKvVkpaWxoIFCygtLX3hchyOBIR0iqIwMDDA999/z6pVq7BarS98a2YgoNFoiI6OJisri/T0dK5cuTLam+cVSxRFIiMjycvLo7e3dzT9oxJA0lVXV9PZ2cn7779PbGysv4c0LsxmMwsWLKCoqIjr169z8+bN/8rNJSUl8cknn3D48GHu3r3rp5EGFn6XTpIkWlpauHHjBvv378dgMATsDPdPvCUwi8XCpk2bePjwIRUVFfT29o7OeFqtlpSUFIqKiqisrKSvrw+Px/e/JxtI+FU6WZZxOp2UlZURHx8/enY1mBAEAZ1OR1xc3Gi3SXV1Nf39/bjd7tGgori4mMePH9PU1BT2QYVfpfOe0K+srCQ/Px+LxRK0vwLo3cMVFRURFxfHjz/+yMDAAB6PB61WS0ZGBm+88QbHjh37294vHPGrdF1dXXz99dfs27ePtLS0oFlWX4R3uV2+fDlr166lrKyMlpYWnE4noiiSm5vLnDlzOHHiRFh3ovhFOlmWGRkZoaKiAovFwvr16wOi8jBVmM1msrKyyM7OprGxcVS86Oho9u/fT01NDc3NzePuUA41/CKdt/28paWF9957b8reJxdIeJfUoqIiqqqqRn+JZ+7cubz55ptUVFTQ398flsusz6WTZRm73c6vv/5KZmYmaWlpQRc8jAfvUjtjxgx2796N3W7n8uXLPH36lNzcXBRF4eLFi2HZ3u5z6ex2OzU1NXR3d5Ofn09UVFRIv1JVr9cTFRXF2rVrsVgslJWVYTabycnJoaSkhMePH4edeD7/v33v3j2OHDnCxx9/TFJSkq9v7xe8b/TMzs6msLCQb7/9FovFQnZ2NkePHuXZs2f+HqJP8Zl0Ho+Hvr4+KioqWLduHRkZGZM+uxpMePN5SUlJ7Nq1i7a2NlJTU2lvb+fq1au4XK6wCSp8tpmSJInGxkY6OjrYuXMnkiRhs9l8dfuAIj4+nuzsbMrKyjAYDJSXl7N48WISExNDcn/7T3zyhN5fl/7qq6+wWCxcv36dhoaGkItYx4v3pJsoithsNm7cuEFmZiZ79+4NC+kE5RVz+rBjfJvcSOOLD0ArikJ/fz+///776OFmleeRvLflKSEhgeLi4tEtx3g/92DEJ9KpTJxQli50cxUqAYsqnYrPmdZd6/MNswdFAQQBQRAQ//pTxYuCLD//KVHhr88m1D+faZROQfG4GOx7hsOjIGo0aHRmoiJNGHTB2b40LSgyTtswIzYnOmMEEREmtBpVutfG47Jxu/IENwYTWLwsnUdNN7AszGPlskzMIoih/dm+AgW35KKzuY7WHiczZ8/GEqEjKjXD3wObdqZxTycgY0CjDGF3aZmVks4MbTe1FVcZcCmER+79JShuJPsDSo/9zDPDPKyLFpGaPI8QLkOPMr2PKIAgKIwMPKW74w7X6lrQxiUQoRMI8W3LK1HcDqT7l6j7M45ZSXGYtRpEbQQIoW+dT55Q8Ug4nG5iZycgDfbydNCFRw7vuU4QRBA1yB4XstsDAjz/Job+t3HapRNEHVFxc8lcuIS1axbifNLD0MhfEW04I+rQJq4kJ/EpHfd6sDlduF/zV3yCjemrSCgyruHHnDt+iEsPzWQuSmGg4y6JK7dRnJtFhFYI+0DCI7l4cv9/Kft3LSPGBBZlprJm5Qr0el1IVySmsQym4HG7GRkaREZAEbUoHhmDyYjJaAxz4Z6jKDIelwOHy43kAaNRj16nQ6PRqNKNB7X2OrWEsnShHyqpBByqdCo+R5VOxedMWRkslPcgKlOLOtOp+BxVOhWfo0qn4nNU6VR8jiqdis9RpVPxOap0Kj5HlU7F56jSqfgcVToVn/N/fP/+nsZi/KMAAAAASUVORK5CYII=)
In figure,
Then
![](data:image/png;base64,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)
maths-General
Maths-
In the figure, x° and y° are two exterior angles of ΔABC Then x° + y° is
![](data:image/png;base64,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)
In the figure, x° and y° are two exterior angles of ΔABC Then x° + y° is
![](data:image/png;base64,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)
Maths-General
Maths-
In the figure,
is extended both sides up to D, E.
?
![](data:image/png;base64,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)
In the figure,
is extended both sides up to D, E.
?
![](data:image/png;base64,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)
Maths-General
Maths-
In the figure,
is extended up to D. If
and ![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,
is extended up to D. If
and ![Error converting from MathML to accessible text.](data:image/png;base64,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)
![](data:image/png;base64,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)
Maths-General
Maths-
In the figure,
and
then
?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIYAAABNCAYAAABjVhzmAAAMm0lEQVR4nO2da0xUd5+An3POHObGMDDcFVEQAQV0KyIrb8vrhVCzrbeu2nQ3oXWTdW3TNtnuh26zSXc3m37rmyZtP2ya5q0mTdps667UXaJGivcFdQsCW6kXfJWbMjKKDHM7c87ZD4p5bbELIjMHOE/CF3KY+c3wnN///juCrus6k8AfikzmcpMZihjvAEyMiSmGybiYYpiMiymGybiYYpiMiymGybhYpuuFE20J0/XSJk/IZKYazIxhMi6mGCbjMm1NiUls0XWdaDSKIAhIkoQgCFN6PVMMg6BpGuFwmFAohKqqOJ1OZFnGYpnYv0hVVa5fv05bWxvl5eVkZWVhtVoRxSdrFEwxDIKiKJw9e5ajR4/i9/tZu3Yt69atw+VyTejuj0ajNDc388EHH1BcXMxbb71FVVUVVqv1ibKHMF2LaE9zVKLrOoFAgPb2dlpbW3E4HNTU1OByuZAk6am9T7zQNI2bN2+ye/durly5gq7rpKWl8f7771NbWzthMfr6+vjyyy/Zv38/GRkZbN++nZ07d+LxeLDZbJMalcyIjKGqKl1dXbzxxhv09/cjSRLffvstGzduxGazxTu8KRONRuns7OTcuXPk5+eTmppKa2srn3zyCUNDQ5NqDtxuN/n5+Zw+fZorV67Q0dHBu+++S2Fh4aRiMrwYY9li79699PT0EA6HCYfDHD9+nPPnz88KMXRdJxKJoCgKFy9eRBRFBEGgvb2da9euTaopUBSFYDBIOBwmEolQX19PZWUl+fn5k4rJ8GKM4ff7UVUVXdfRdR2r1coLL7xAQUFBvEN7Koz1Mbq6ulAUhby8PCorK0lOTp7Q3+u6jqIoeL1eTp06xbVr13C73Tz//PNUVFTcb3Kj2oTjMbwYgiBgtVrZtGkTBw8e5N69e8iyTHV1Ne+99x6LFy+Od4hPBVVV6evro729nVAoRElJCUuWLJnw0DMajTIwMPCw+SkqKmLPnj289NJLJCUlTboDangxACwWC2VlZWRlZZGSkkJdXR0vv/wyOTk5v/jAuq6DroMgAAJTHM7HDEmSmD9/PpmZmWiahizLSJI04f6FruucPHmSpqYmNmzYwOuvv05xcfGERzU/Z0aIoWkaXq+X3t5edu3axe7du0lNTX1kjK+pKpHQKMHAKMN3honIiXjcLmx2O/YEC5Jk7EleQRCwWCwTnrcYjxUrVvD222+zfv16MjIySEh48pGh4cUY63weOHCApKQkVq5cSVpa2s/uJJ1w8A7N9b/nyNnrhG1u5JCPYEI2y9dvY9uzRaS6rHH7DLFAlmWKioooKip6OPs5FWaEGP39/TQ2NrJkyRJKS0t/8aH1aJhAfzPfHbnC0h1/zYuVi7Gqd/nhaD1f/1c9K4r2kOxKx6gzHno0TODiEf718GV0UcQqS2i6wLzCCn7z7ErS7RZk6debA0EQkGX5qcVk7PzKfTG+//57hoaGKC8vJzc39+dXoCsB7rQ20ptcyZqKYuale0jNyuOZ1WvIHrnKxcEhFB0mNZMXS5QAIz81cuCMl5SFiylckk9mwhBHfv87/qO5n9AkRhNPC0NnDE3TCIVCNDQ0IAgCNTU1OJ3ORy/SQddU7g4OIbk9OOUx1wUsVhsuGfzhqHGleIAgCNhTF1JWsZqiJJmRghyUGz/S0XOLkDYfV4zjMbQYiqJw4cIFenp6yM7OZtWqVb/sUAkgiDIp2ZloXf0MByMoisatvnuEfT7uRC0scCQYOjWOSRsc6qbleBMDToHbvT/RcSeLymW52MXYD60MLUYwGOTEiRMEAgFeeeUVEhMTxxm+CYhWB+4VNWT8215Ot6xg3rMpHNm3jzbvKAMJC/hzTzKyAEYeueq6RiQ0gm+wl+CtVv79jMLWv/17XlyZgcMSe60NLcbNmzdpaWnBZrOxadOmx4/pBQuJ8yupe7WP/zy8j39qFBi83MWQkMq8JQtAFFAfTG0YVQ5BEHEveIY/2/EieUItaco/cuRUCzfWlVCQJGONsRyGFUPTNLq7u2lra2Pjxo3Mnz//V8QQsdqTKK/9S5ZVvcBA3wDBhDTSHBG6Tp3GFwih6RjWCkEQkSwyNpsdZ2IyHnc6m9/YxaV/+IyDJ9bxNxsLTDHgvhSjo6O0tbXh8/mora3F6XT+6gyeIAiIFhm7K5VFhSkgCOi6zm+27kCSZUTRsF6AxYYt50/4bXkuHoeMIEok5axj1x4fR/t78YcXkxLjtUJD7sdQFIW+vj7efPNNBgcH+eKLL1i2bNmUt6sZFl1D0zSiuoAoCFgkEXQVVdVRVB3ZIj2VmdsZv0tcVVXa29u5dOkS1dXVpKenz14pAAQRUbKQYJHuSwEgSEgWCzarHJfpfMOKsX//fux2O1VVVSQmJsY7pDmH4cSIRqPcunWLpqYmcnJyWLFixVOd6jWZGIYTIxQKcfjwYRRFoaysjNzc3CmtOJo8GYb7xoeHhzl06BBut5vq6mozW8QJw2WM1tZWrl69Sl5eHuXl5fEOZ85iGDHGNsQ2Nzfj9XrZvn07Llesl45MxjCMGKqq0tPTw48//ojT6WT9+vVT2oFkMjUMI0YkEqGzs5Pu7m42bNhAWlqa2emMI4YRIxAIcObMGUZHR9m8ebMpRZwxhBiapjE8PExjYyNLly6lqKjIFCPOxF2MsYMynZ2dXL58mVWrVjFv3rxZcSZ1JmOI23J0dJSDBw+SkZFBWVnZ/7uSajL9GCJj9PT0cOzYMZYtWza7V1FnEIYQo76+nmg0yurVq8nOzo53SCbEWQxVVblz5w7Hjh1DlmU2bNiA1Tq7DwbNFOIqRiQS4dy5cwwMDFBYWEhpaak5qWUQ4tL5HKs3NTQ0xKFDhwgEAmzZsgWbzWb2LwxCzMXQdZ1wOExjYyNfffUVTU1NOBwO1q5da0phIGIuRjgcprm5mXfeeYeBgQHC4TCZmZkMDAxMuuqLyfQR8z6GqqocO3YMr9eLw+FA0zQCgQDnzp2LdSgmv0JcmhK3242qqty+ffvh7ydaUsgkNsQ8Y1itVnbs2MHixYtxOp3k5OSwc+dOtm3bhiiK92tsaRqqqj780TSdyR1yMJkqMc8YFouFpKQkMjIyCIfD1NXV8eqrr+LxeBAEASXQz/98/9/8YTT64ISWBbsnj/LypWQmJpgd1BgR84wRjUbp7u7mwoULFBcXU1dX98i5kaDvEg17v6Iz4sKVkkySPMLRvb/jw/3tRFQ11uHOWWKeMYLBIA0NDVgsFioqKsjKynokC6hRhUgIFpRW8qdLbNgIov90nH85/gMjf/EMCRj4qOEsIuZieL1eGhsbSUtL47nnnnvMQeUow4N99DnsWDUfnX/ws6AgB3vcV3bmDjEXo6Wlhd7eXtasWUNRUdE4V+ho6j3+t7GeqMeOXdTQirfwd1uewy5KZraIETETQ9M0gsEgLS0t3L17l61btz7+6KGQyNK1m3gxz0mizU5aRjpJDitxKCwzZ4mZGGOdzq6uLjweD9XV1Y+pAy4gSlZSc/LIz08kURYQhJlTyHW2EDMxIpEIbW1t9Pb2snXr1sc+R8OelEnhymfISrZhkyWe8DksJlNkWsX449Ibfr+fkydPYrFYqK2tfexmX5tnOX/1z8unM6y4MfZ9zIS5mGm7HzXtQTGQaBRN0/D5fDQ1NVFaWkpBQcGc2wWuaTrBsMLdoIKCgWuOPmDaxLh9+zZ79+7lm2++wefzcf78eQYHB6moqHg4oTXJYj4zGl3XuPrTVQ7UnyQ8A+bppu22vXHjBp9//jm6rpObm8t3333HwoULKSkpQZZlAoHA3NoNruukpYisW+oicQacjJi2jLFo0SJqamro6uriwIEDnD17lry8PLxeLx999BEffvjhI6ursxedkH8EVdVIy1rEgrKV8Q5oQkybGB6PhzVr1pCens7XX3+N3+/H6/Xy8ccf8+mnn3LixAlu3bo1XW9vCHRNQw3eoeWHa4QjUSxyApJ0P0nHvjr45Jg2MURRZPny5VRVVeH3+5EkiY6ODnw+H6+99hr79u2b9APcZhqqojDQ0UFishXZbuePV3mMPgqf1qGBx+Nh8+bNXL9+HVEUWb16Ndu3byc/Px+XyzXrq+VoapjbwSjZ89z3Hysxg7pT01rnU9M0RkZGaGhooKSkhJKSkjl7JlXX9bh3tCdT53NaxRh74qGiKAAkJMzNjTZjT38ce2xmvL4DwxSAFQQBURSxWq1P/Cjp2YCu63z22Wd4vd54hzJhDFkyerYRCoW4e/cuLpcLh8MxIzLG3JqXjhNWq5WMjIy4NiOTxRQjBswkIcYw+nDaJE6YYpiMy/8BI2/jKDxtRNQAAAAASUVORK5CYII=)
In the figure,
and
then
?
![](data:image/png;base64,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)
Maths-General