SOLUTION: If the measure of the supplement of an angle is 10 degrees more than five times the measure of the complement, what is the measure of the angle?

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Question 852350: If the measure of the supplement of an angle is 10 degrees more than five times the measure of the complement, what is the measure of the angle?
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
set x is the angle.
180 - x = supplement
90 - x = complement
(180 - x) = 10 + 5(90 - x)
180 - x = 10 + 450 - 5x
180 - x = 460 -5x
add 5x to each side
180 + 4x = 460
add -180 to each side
4x = 280
divide each side by 4
x = 70