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    Question

    Determine the difference between an angle and its

    complementary angle, given that the angle is two-thirds of its complement.
    A 18° Correct Answer Incorrect Answer
    B 20° Correct Answer Incorrect Answer
    C 24° Correct Answer Incorrect Answer
    D 36° Correct Answer Incorrect Answer

    Solution

    Let the angle be 'A'.
    Complement of 'A' = 90o - A

    So, 'A' = (2/3) X (90o - A)

    Or, 3A = 180o - 2A

    Or, 5A = 180o

    Or, 'A' = 36o

    Complement of 'A' = 90o - 36o = 54o

    Required difference = 54o - 36o = 18o

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