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I posted this early, I don't understand, Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 87.75 degrees. Find the measures of the angles? What is the measure of the smaller angle? What is the measure of the other angle. Both in degrees...

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  1. Let A = first angle and B = second

    A + .25B = 87.75

    A + B = 90 (complementary)

    A = 90 - B

    Substitute 90 - B for A in the first equation to find B. Substitute B into the second equation to find A. Check by putting both values into the first equation.

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