Question
PQR is an equilateral triangle inscribed in a circle. S
is any point on the arc QR. Measure of ∠PSQ is:Solution
Each of the angles of an equilateral triangle is equal and 60°. The angles subtended by an arc in the same segment of a circle are equal. Both PRQ and ∠PSQ are subtended by the arc PQ in the same segment, so =1/2 × ∠PSQ =1/2 ×60° =30°
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