SOLUTION: the measure of the complement of angle of an angle is twenty degrees less than 4 times the angle. What is the supplement of the angle?

SOLUTION: the measure of the complement of angle of an angle is twenty degrees less than 4 times the angle. What is the supplement of the angle?

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Question 242487: the measure of the complement of angle of an angle is twenty degrees less than 4 times the angle. What is the supplement of the angle?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

represent the measure of the angle, then the measure of the complement must be

.

The sum of an angle and its complement is 90 degrees, so:

Solve for

to find the measure of the angle. The sum of an angle and its supplement is 180 degrees, so the supplement of

is:

Solve to get the supplement of the angle.

John

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