SOLUTION: The sum of the measures of two complementary angles exceeds the difference of their measures by 86 degrees. Find the measures of the angle.

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Question 212853: The sum of the measures of two complementary angles exceeds the difference of their measures by 86 degrees. Find the measures of the angle.
Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
x+y=90 or x=90-y
x+y=x-y+86
(90-y)+y=(90-y)-y+86
90-y+y=90-y-y+86
2y=86
y=86/2
y=43 degrees.
x+43=90
x=90-43
x=47 degrees.
43-47+86=90
4+86=90
90=90

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