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.

Algebra ->  Angles -> 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.      Log On


   



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) About Me  (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