SOLUTION: Two angles are complementary, the sum of the measure of the first angle and one forth the second angle is 62.25 degrees find the measure of the angles

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Question 376317: Two angles are complementary, the sum of the measure of the first angle and one forth the second angle is 62.25 degrees find the measure of the angles
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
x = one angle,
90 - x = other angle. Then
x + (90-x)/4 = 62.25. Hence
x + 22.5 -x/4 = 62.25,
3x/4 = 39.75,
0.75x = 39.75,
x = 53, one angle, and 90 - 53 = 37, the measure of the other angle.