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) About Me  (Show Source):
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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