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12 August, 05:31

An angle measures 15 degrees more than its complement. Find the measures of the two angles

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  1. 12 August, 07:56
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    x = one angle

    y = other angle

    y = 15+x

    complements add to 90 degrees

    x+y = 90

    substitute for y (15+x)

    x + 15+x = 90

    combine like terms

    2x + 15 = 90

    subtract 15 from each side

    2x = 75

    divide each side by 2

    x = 75/2

    x = 37.5

    y = x+15

    y = 37.5 + 15

    y = 52.5

    The two angles are 37.5 and 52.5
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