If ABCD is a cyclic quadrilateral in which AD||BC (figure). Prove that

1.	If ABCD is a cyclic quadrilateral in which AD\|\|BC (figure). Prove that ∠B = ∠C.
Answer» Given: ABCD is a cyclic quadrilateral with AD ‖ BC => ∠A + ∠C = 180° ………(1) [Opposite angles of cyclic quadrilateral] and ∠A + ∠B = 180° ………(2) [Co-interior angles] Form (1) and (2), we have ∠B = ∠C Hence proved.

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

Answer»

Given: ABCD is a cyclic quadrilateral with AD ‖ BC

=> ∠A + ∠C = 180° ………(1) [Opposite angles of cyclic quadrilateral]

and ∠A + ∠B = 180° ………(2) [Co-interior angles]

Form (1) and (2), we have

∠B = ∠C

Hence proved.

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

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