SOLUTION: An angle measures 132� less than the measure of a supplementary angle. What is the measure of each angle?

Question 1036366: An angle measures 132� less than the measure of a supplementary angle. What is the measure of each angle?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let x equal the angle.
the supplementary angle is 180 - x.
you are told that the angle measures 132 degrees less than the supplementary angle.
this means that x = 180 - x - 132.
combine like terms to get x = 48 - x.
add x to both sides of this equation to get 2x = 48.
divide both sides of this equation by 2 to get x = 24.
the angle is 24.
the supplementary angle is 180 - 24 = 156.
the angle measures 132 degrees less than the supplementary angle.
if the angle is 132 degrees less than the supplementary angle of 156 degrees, then 24 + 132 must be equal to 156.
it is, therefore the solution is correct.

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