SOLUTION: The measure of the supplement of an angle added to the measure of the compliment of that same angle is 210. Find the measure of the angle. What is the supplement?

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Question 128982: The measure of the supplement of an angle added to the measure of the compliment of that same angle is 210. Find the measure of the angle.
What is the supplement?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
An angle plus its supplement measures 180 degrees, and an angle plus its complement measures 90 degrees.

The compliment of an angle would be something like "My, you are a very pretty little angle!" "My, you are a cute little angle!" would be a horrible pun.

Measure of the angle: x
Measure of the supplement of the angle: 180 - x
Measure of the complement of the angle: 90 - x

Therefore:

%28180-x%29%2B%2890-x%29=210

-2x%2B270=210

-2x=210-270

-2x=-60

x=30

The supplement of an angle that measures 30 degrees measures 150 degrees, and the complement of an angle that measures 30 degrees measures 60 degrees. 150 plus 60 equals 210. Answer checks.