In quadrilateral

MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles

Problem

In quadrilateral PQRSPQRS, it is given that ∠PQS=∠PRS\angle PQS = \angle PRS. Which one of the following must be true? (a) PQ=PRPQ = PR (b) ∠PQR+∠PSR=180∘\angle PQR + \angle PSR = 180^{\circ} (c) P,Q,R,S lie on a circle (d) △PQS is right-angled at Q\triangle PQS \text{ is right-angled at } Q

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