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22 May, 22:49

Two angles are complementary. The measure of the smaller angle is five less than the measure of the larger angle. What is the measure of the smaller angle?

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  1. 23 May, 01:18
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    Complementary angles, when added, = 90 degrees

    S + L = 90

    S = L - 5

    L - 5 + L = 90

    2L - 5 = 90

    2L = 90 + 5

    2L = 95

    L = 95/2

    L = 47.5 ... larger angle

    S = L - 5

    S = 47.5 - 5

    S = 42.5 < = = smaller angle
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