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    Question

    Find the difference between angle and its complement if

    the angle is three-seventh of its complement.
    A 28° Correct Answer Incorrect Answer
    B 32° Correct Answer Incorrect Answer
    C 34° Correct Answer Incorrect Answer
    D 36° Correct Answer Incorrect Answer

    Solution

    Let the angle be 'A'.

    Complement of 'A' = 90° - A

    So, 'A' = (3/7) X (90° - A)

    Or, 7A = 270° - 3A

    Or, 10A = 270°

    Or, 'A' = 27°

    Complement of 'A' = 90° - 27° = 63°

    Required difference = 63° - 27° = 36°

    Hence, option d.

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