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Question : PQR is an equilateral triangle inscribed in a circle. S is any point on the arc QR. Measure of $\frac{1}{2} \angle \mathrm{PSQ}$ is:

Option 1: 20°

Option 2: 15°

Option 3: 30°

Option 4: 60°


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 30°


Solution :

Since PQR is an equilateral triangle inscribed in a circle, each of its angles is 60°.
$\angle PSQ=\angle QRP = $ 60°    (Angles in the same segment)
$\frac{1}{2}\times \angle PSQ=\frac{60°}{2}=30°$
Hence, the correct answer is 30°.

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