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    Question

    Find the difference between angle and its complement if

    the angle is two-seventh of its complement.
    A 40° Correct Answer Incorrect Answer
    B 44° Correct Answer Incorrect Answer
    C 48° Correct Answer Incorrect Answer
    D 50° Correct Answer Incorrect Answer

    Solution

    Let the angle be 'A'.

    Complement of 'A' = 90° - A

    So, 'A' = (2/7) X (90° - A)

    Or, 7A = 180° - 2A

    Or, 9A = 180°

    Or, 'A' = 20°

    Complement of 'A' = 90° - 20° = 70°

    Required difference = 70° - 20° = 50°

    Hence, option d.

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