Question

    PQR is an equilateral triangle inscribed in a circle. S

    is any point on the arc QR. Measure of  ∠ PSQ is:
    A 20° Correct Answer Incorrect Answer
    B 15° Correct Answer Incorrect Answer
    C 30° Correct Answer Incorrect Answer
    D 60° Correct Answer Incorrect Answer

    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°

    Practice Next

    Relevant for Exams: