SOLUTION: What is the measure of an angle with a supplement that is four times its complement?

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Question 357600: What is the measure of an angle with a supplement that is four times its complement?
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!
Let the angle be x.

The complement of an angle x is 90-x since an angle plus its complement is 90 degrees.

The supplement of an angle x is 180-x since an angle plus its supplement is 180 degrees.

Therefore, we are given

%28180-x%29=4%2890-x%29

180-x=360-4x

3x=180

x=60

Thus, the measure of the angle we are looking for is 60 degrees.

I hope this helps!