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    Question

    In triangle ABC, ∠A - ∠B = 16 ° ,

    whereas ∠A - ∠C = 8 ° , find ∠B.
    A 52° Correct Answer Incorrect Answer
    B 60° Correct Answer Incorrect Answer
    C 54° Correct Answer Incorrect Answer
    D 62° Correct Answer Incorrect Answer

    Solution

    Since, ABC is a triangle,

    So, ∠A + ∠B + ∠C = 180 °  .......... (I)

    Also, ∠A - ∠C = 8 °  .......... (II)

    On subtracting equation (II) from equation (I), we have;

    2∠A + ∠B = 188 °  .......... (III)

    Also, ∠A - ∠B = 16 °  ........ (IV)

    On adding equation (III) and (IV), we have;

    3∠A = 204 °

    Or, ∠A = 68 °

    So, ∠B = 68 °  - 16 °  = 52 °

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