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    Question

    PQ and PR are the two chords of a circle. The tangents

    at Q and R meet at A. If ∠QPR = 64°, then the measure of ∠QAR is.
    A 122° Correct Answer Incorrect Answer
    B 52° Correct Answer Incorrect Answer
    C 62° Correct Answer Incorrect Answer
    D 128° Correct Answer Incorrect Answer

    Solution

    ∠QOR = 2∠P ∠QOR = 2 × 64 = 128°  ∠QAR = 180° - ∠QOR ∠QAR = 180° - 128° ⇒ 52°

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