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    The chord of a circle is equal to its radius. The angle (in degrees) subtended by this chord at any point on the minor arc of the circle is:
    Question

    The chord of a circle is equal to its radius. The angle (in degrees) subtended by this chord at any point on the minor arc of the circle is:

    A.

    130

    B.

    140

    C.

    150

    D.

    120

    Correct option is C


    Given:

    A chord of a circle is equal in length to the radius of the circle.

    Theorem Used:

    ​The angle subtended by a chord at any point on the minor arc is half the angle subtended by the same chord at the center of the circle.

    Solution:

    ∠ACB = ½ ∠AOB = ½ × 60° = 30°

    ∠ACB + ∠ADB = 180° (Opposite angles of a cyclic quadrilateral)

    ∠ADB = 180° - 30° = 150°

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