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16 September, 05:13

The measures of two complementary angles have a ratio of 1:2 what is the measure of each angle

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  1. 16 September, 05:28
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    The two angles are 30 degrees and 60 degrees

    Solution:

    Given that,

    The measures of two complementary angles have a ratio of 1 : 2

    Let the one of angle be 1x

    Let the other angle be 2x

    We know that,

    Sum of two complementary angles is 90 degrees

    Therefore,

    1x + 2x = 90

    3x = 90

    Divide both sides by 3

    x = 30

    Therefore, measure of each angles is:

    One angle = 1x = 30

    Other angle = 2x = 2 (30) = 60

    Thus the two angles are 30 degrees and 60 degrees
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