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I have tried this problem a few ways, and I am getting frustrating results. Could you help me out by showing me how to set the systems of equations

Two angles are complementary The sum of the measure of the first angle and 1/4 the second angle is 82.5. Find the measure of the angles.

I think that the first equation will look like this: x+y=90, but I am stuck on the set up of the second one.

  • Math -

    second equation:
    x + (1/4)y = 82.5
    multiply by 4
    4x + y = 330

    now subtract the first from the second

    4x + y = 330
    x + y = 90
    3x = 240
    x = 80

    so one is 80 degrees, the other 10 degrees.

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