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    The measure of an angle is three times the measure of its complement. The angles are respectively:
    Question

    The measure of an angle is three times the measure of its complement. The angles are respectively:

    A.

    20.5°,67.5°

    B.

    22.5°, 67.5°

    C.

    20°, 60°

    D.

    22.5°, 60.5°

    Correct option is B

    Given:

    The measure of an angle is three times the measure of its complement.
    Identity Used:

    Complimentary angle : x + y = 90°
    Solution:

    Let x be the required angle, the other angle is 3x.
    According to the question,
    x + 3x = 90°

    4x = 90°

    x = 22.5°
    And the other angle measures
    3x = 3 × (22.5°) = 67.5°
    Then the Required angles are 22.5° and 67.5°.

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