SOLUTION: If two angles are supplementary (the sum of the two angles equals 180 degrees) , find each angle if one angle is 30 degrees more than twice the other angle.

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Question 1131597: If two angles are supplementary (the sum of the two angles equals 180 degrees) , find each angle if one angle is 30 degrees more than twice the other angle.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the sum of the two angles equals 180° :
alpha%2Bbeta=180°
if angle alpha is 30 degrees more than twice the angle beta, we have
alpha=2beta%2B30°...substitute in alpha%2Bbeta=180°
2beta%2B30%2Bbeta=180°
3beta=180-30°
3beta=150°
beta=150%2F3°
beta=50°
and
alpha=2%2A50%2B30°
alpha=130°