SarkariPYQ

SSC CPO 2023 PYQ — Question 131

SSC CPO - 3 Oct 2023 - Shift 1 • Quantitative Aptitude • Q131

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PQR is an equilateral triangle inscribed in a circle. S is any point on the arc QR. The measure of 12\frac 1 2 ∠PSQ is :

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Correct answer: C

Explanation

The correct answer is Option 3. i.e. 30°.

Given, that PQR is an equilateral triangle

So, all the angles of triangle PQR are 60°

∠PRQ and ∠PSQ are on the same side of arc PQ

∠PRQ = ∠PSQ = 60°

The value of 12\frac 1 2 ∠PSQ = 12\frac 1 2  × 60 = 30°