SOLUTION: What is the measure of an angle that is 12 degrees less than three times its supplement?

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Question 773409: What is the measure of an angle that is 12 degrees less than three times its supplement?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Supplementary angles are pairs of angles that add up to 180 degrees.
let one angle be alpha and its supplementary angle beta
if alpha is 12 degrees less than three times its supplement beta, then we have alpha=3beta-12
so,alpha%2Bbeta=180.....substitute alpha=3beta-12
3beta-12%2Bbeta=180.......solve for beta
4beta=180%2B12
4beta=192
beta=192%2F4
beta=48
then alpha=3beta-12=> alpha=3%2A48-12=>alpha=132