SOLUTION: Please help me solve this equation: Two angles are supplementary. One angle is 212 less than three times the other. Find the measures of the angles.

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Question 648344: Please help me solve this equation: Two angles are supplementary. One angle is 212 less than three times the other. Find the measures of the angles.
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's angles be alpha and beta
given:
One angle (let it be alpha) is 212 less than three times the other(beta).
alpha=3beta-212..........1
alpha%2Bbeta=180....2...plug in alpha from equation 1 and sole for beta
_____________________
3beta-212%2Bbeta=180
4beta=180%2B212
4beta=392
beta=392%2F4
highlight%28beta=98%29...now find alpha
alpha=3beta-212..........1
alpha=3%2A98-212
alpha=294-212
highlight%28alpha=82%29
check the sum:
alpha%2Bbeta=180....2
82%2B98=180
180=180