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Two angles are complementary. The sum of the measure of the first angle and one-fourth of the second angle is 69 degrees. Find the measures of the angles.
What is the measure of the smaller angle?
What is the measure of the other angle?

Can somebody help me set this up?

  • Algebra -

    Let one angle be A and the other angle be B. Since they are complimentary,
    A + B = 90 (degrees)
    They also tell you that
    A + B/4 = 69
    Therefore (subtracting one equation from the other)
    3/4 B = 21
    B = (4/3)*21 = 28
    A = 62

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