Exams › SSC CGL (Prelims) › General

In a cyclic quadrilateral \(PQRS\), \(PQ\) is the diameter of the circle. If \(\angle PRS=35^\circ\), what is the measure of \(\angle QPS\)?

1. 35°
2. 45°
3. 55°
4. 65°

Correct answer: 55°

Solution

Since \(PQ\) is a diameter, \(\angle PRQ=90^\circ\) and the relevant circle-angle relations apply. Using the given \(\angle PRS=35^\circ\), the remaining angle at \(P\) comes out to \(55^\circ\).

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