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18 June, 23:29

When angles are complementary, the sum of their measures is 90 degrees. Two complementary angles have measures 2x - 10 degrees and 3x - 10 degrees. Find the measures of each angle.

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  1. 19 June, 01:51
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    2x - 10 + 3x - 10 = 90

    5x - 20 = 90

    5x = 90 + 20

    5x = 110

    x = 110/5

    x = 22

    one angle is 2x - 10 = 2 (22) - 10 = 44 - 10 = 34 degrees

    one angle is 3x - 10 = 3 (22) - 10 = 66 - 10 = 56 degrees
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