SOLUTION: The measure of the supplement of an angle is 4 times the measure of its complement. Find the measure of the angle.

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Question 125540: The measure of the supplement of an angle is 4 times the measure of its complement. Find the measure of the angle.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
:
Let x = the angle
:
The supplement: (180-x)
The complement: (90-x)
:
write what it says:
"The measure of the supplement of an angle is 4 times the measure of its complement."
(180-x) = 4(90-x)
:
180 - x = 360 - 4x
:
-x +4x = 360 - 180
:
3x = 180
x =180%2F3
x = 60 is the angle
:
:
Check solution in the original equation:
(180-60) = 4(90-60)
120 = 4(30); confirms our solution