SOLUTION: One of the two supplementary angles is twice the size of the other. What are the measures of the angles?

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Question 427392: One of the two supplementary angles is twice the size of the other. What are the measures of the angles?
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

the two supplementary angles add up to 180°
if one of them is alpha and the other one is beta, then we have
alpha+%2B+beta+=+180........if alpha=+2beta, then
2beta+%2B+beta+=+180
3beta++=+180
beta++=+180%2F3
beta++=+60
alpha=+2%2A60
alpha=+120
so, your angles are: alpha=+120 and beta++=+60