Math, asked by biplablohar, 28 days ago

(iv) In the adjoining figure, ABCD is a cyclic quadrilateral. BA is extended to the point F. IfAE||CD, <ABC = 92º and <FAE =20°, then the value of <BCD is
(a) 20° (b) 889
(c) 1089
(d) 720​

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Answers

Answered by nandithas35
0

Answer:

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Step-by-step explanation:

Given,

In cyclic quad. ABCD

AF∣∣CB and DA is produced to E such that ∠ADC=92

and ∠FAE=20

So,

∠B+∠D=180

∠B+92

=180

∠B=88

As AF∣∣CB, ∠FAB=∠B=88

But, ∠FAD=20

[Given]

Ext. ∠BAE=∠BAF+∠FAE

=88

+22

=108

But, Ext. ∠BAE=∠BCD

Therefore,

∠BCD=108

Answered by ls6499661
0

Answer:

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