SOLUTION: The measure of an angle is nine times the measure of a supplementary angle what is the measure of each angle

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Question 1000214: The measure of an angle is nine times the measure of a supplementary angle what is the measure of each angle
Answer by MathLover1(20850) About Me  (Show Source):
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Supplementary angles add up to 180°.
let's angles be alpha and beta
then we have alpha%2Bbeta=180
if the measure of alpha is nine times the measure of a supplementary angle
beta, then we have alpha=9beta
substitute alpha in alpha%2Bbeta=180
9beta%2Bbeta=180....solve for beta
10beta=180
highlight%28beta=18%29

alpha=9beta=>alpha=9%2A18=>highlight%28alpha=162%29