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Question -

If ABCD is a cyclic quadrilateral in which AD || BC (In the given figure). Prove that ∠B = ∠C.



Answer -

It is given that, ABCD is cyclic quadrilateral in which AD || BC
 
We have to prove  
Since, ABCD is a cyclic quadrilateral
So,
 and                ..… (1)
 and                (Sum of pair of consecutive interior angles is 180°) …… (2)
From equation (1) and (2) we have
  …… (3)
  …… (4)
Hence Proved

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