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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┬а- A

    So, 'A' = (2/3) X (90o┬а- A)

    Or, 3A = 180o┬а- 2A

    Or, 5A = 180o

    Or, 'A' = 36o

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

    Required difference = 54o┬а- 36o┬а= 18o

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