SOLUTION: The sum of the measure of two complementaty angles exceeds the difference of their measure by 132 degree. Find the measure of each angle

Question 157436: The sum of the measure of two complementaty angles exceeds the difference of their measure by 132 degree. Find the measure of each angle
Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!
angle is x.
complement of that angle is 90-x.
x + (90-x) = x - (90-x) + 137.
x + 90 - x = x - 90 + x + 137.
90 = 2*x - 90 + 137
180 = 2*x + 137
180 - 137 = 2*x
2*x = 43
x = 21.5
putting x = 21.5 in the original equation, we get
21.5 + (90-21.5) = 21.5 - (90-21.5) + 137
21.5 + 90 - 21.5 = 21.5 - 90 + 21.5 + 137
90 = 43 - 90 + 137
90 = 180 - 90
90 = 90
formula check out ok.
angle is 21.5 degrees.

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