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    Question

    'O' is the incentre of △ABC. Given that ∠ABC = 64°

    and ∠BCA = 96°, determine the measure of ∠BOC.
    A 108° Correct Answer Incorrect Answer
    B 110° Correct Answer Incorrect Answer
    C 92° Correct Answer Incorrect Answer
    D 100° Correct Answer Incorrect Answer

    Solution

    Image
    ∠OBC= (1/2) X ∠ABC (since BO is the angle bisector of ∠ABC)

    ∠OBC =(1/2) of 64o = 32o

    And ∠OCB = (1/2) X ∠ACB = (1/2) X 96o = 48o

    In rOBC,

    ∠BOC = 180o - (32o + 48o) = 100o

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