△ PQR is an equilateral triangle inscribed in a circle. S is any point on the arc QR. Find the measure of ∠PSQ.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 60°.
△PQR is an equilateral triangle inscribed in a circle. S is any point on the arc QR.
Concept :
Each of the angles of an equilateral triangle is equal and 60°.
∠PRQ and ∠PSQ are angles on the same chord of arc PQ
⇒ ∠PRQ = ∠PSQ = 60°