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3 November, 15:22

The measures of two complementary angles are complementary angles are in the ratio 1:3. What are the measures of the angles?

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  1. 3 November, 15:39
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    The measure of angles are 22.5 degree and 67.5 degree

    Solution:

    Given that, measures of two complementary angles are in ratio 1 : 3

    one angle : another angle = 1 : 3

    Let the first complementary angle 1x

    Let the another complementary angle be 3x

    If the angles are complementary, then their sum is 90 degrees

    Therefore,

    1x + 3x = 90

    4x = 90

    x = 22.5

    Then, first angle = 1x = 1 (22.5) = 22.5

    Another angle = 3x = 3 (22.5) = 67.5

    Thus the measure of angles are 22.5 degree and 67.5 degree
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