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    In the shown figure, BC is a chord and CD is a tangent through the point C. If ∠AOC=112°, then find ∠ACD.
    Question

    In the shown figure, BC is a chord and CD is a tangent through the point C. If ∠AOC=112°, then find ∠ACD.

    A.

    63°

    B.

    59°

    C.

    65°

    D.

    56°

    Correct option is D

    Given: 
    BC is a chord and CD is tangent at point C. 
    Concept Used:
    A tangent drawn to the circle makes right angle with the center of the circle. 
    Angle subtended at the center = 2× Angle subtended at the arc of circle 
    Solution:

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