SOLUTION: What is the measure of an angle if its supplement is four times its complement?

Question 773956: What is the measure of an angle if its supplement is four times its complement?
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!
The sum of an angle and its complementary angle is 90 deg.
The sum of an angle and its supplementary angle is 180 deg.
So if the angle is x,
its complementary angle is (90 - x) and supplementary angle is (180 - x)
Given that supplement is 4 times complement,

Rearranging the terms,

Check: Angle is 60 deg. Complement = 30. Supplement = 120 which is 4 times 30.
Correct :)

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