Exams › SSC CGL (Prelims) › General

Three points \(P, Q, R\), and \(S\) lie on the circumference of a circle. If \(\angle RPS = 30^\circ\) and \(\angle PQS = 40^\circ\), what is the measure of \(\angle PRS\)?

1. 30^\circ
2. 40^\circ
3. 50^\circ
4. 70^\circ

Correct answer: 40^\circ

Solution

In a circle, angles subtended by the same chord in the same segment are equal. Both \(\angle PQS\) and \(\angle PRS\) subtend chord \(PS\), so \(\angle PRS=\angle PQS=40^\circ\).

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