SOLUTION: The measure of an angle is eleven times the measure of a supplementary angle. What is the measure of each angle?

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Question 940851: The measure of an angle is eleven times the measure of a supplementary angle. What is the measure of each angle?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Two Angles are Supplementary if they add up to 180 degrees.
if one angle is alpha and its supplementary angle beta, we have
alpha%2Bbeta=180
if given that t he measure of an angle's (let say alpha)is eleven times the measure of a supplementary angle (let say beta), then we have
alpha=11%2Abeta ....substitute it in alpha%2Bbeta=180
11%2Abeta%2Bbeta=180 ....solve for beta
12%2Abeta=180
beta=180%2F12
highlight%28beta=15%29

now find alpha
alpha=11%2Abeta
alpha=11%2A15
highlight%28alpha=165%29