Math, asked by smolbruh, 2 months ago

In the given figure, CB is parallel to AE find x if angle ADC=92 and angle BCF=20

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Answers

Answered by rakeshseervi998877
3

Step-by-step explanation:

Here is your answer dear

In cyclic quad ABCD

Af is parallel tonCB and DA is produced to E such that angle ADC = 92° and FAE = 20°

Now we need to find the measure of angle BCD

In the cyclic quad ABCD,

B+D = 180°

B+92°=180

B= 180°- 92°

B = 88°

Since AF parallel to CB, angle FAB = B = 88°

But angle FAE =20° [GIVEN]

EXT. ANGLE BAE =ANGLE BAF +ANGLE FAE

=88°+22°=108°

But Ext. Angle BAE = Angle BCD

THEREFORE :- ANGLE BCD = 108°

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