SOLUTION: How do you solve this problem? The measure of the angle's supplement is 50 more than five times that of its complement. Find the measure of the angle described?

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Question 263914: How do you solve this problem?
The measure of the angle's supplement is 50 more than five times that of its complement. Find the measure of the angle described?

Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
We know that when two angles equal 180 degrees they are supplementary angles, right? So let's represent x to be the complement therefore we can write the other as 5x+50.
x + 5x+50=180 Combine terms and subtract 50 from both sides to get:
6x=130 Divide both sides by 6 to get:
x=21 2/3 degrees is one angle and the other is 158 1/3 degrees.
RJ
www.math-unlock.com