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Question

In figure given below, AC BT, mTOP=100, XY YZ, find mX.
971216_100657e9827b4c4ca8adac1a1d1133cb.png

Solution
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Since AC BT so ZYO=TOP [similar angles]
ZYO=100oXYZ=(180o100o)=800.
Now from ΔXYZ we get ZXY=YZX [Since XY YZ].
Also, X+Z=180o80o=100oX=50o.
mX=50o.

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