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In a cyclic – quadrilateral PQRS, angle PQR = 135°. Sides SP and RQ produced meet at point A : whereas sides PQ and SR produced meet at point B.

If ∠A : ∠B = 2 : 1; find angles A and B.

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PQRS is a cyclic quadrilateral in which ∠PQR = 135°

Sides SP and RQ are produced to meet at A and

Sides PQ and SR are produced to meet at B.

[since sum of opposite angles of a cyclic quadrilateral are supplementary]

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