SOLUTION: two angles are supplementary. The measure of the larger angle is 36 degrees more the 7 times the measure of the smaller angle. Find the measures of both angles.

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Question 241230: two angles are supplementary. The measure of the larger angle is 36 degrees more the 7 times the measure of the smaller angle. Find the measures of both angles.
Answer by unlockmath(1688)   (Show Source): You can put this solution on YOUR website!
Hello,
The wording of the problem seems but let's see what I can to help you. Let x represent the smaller angle and 7x+36 be the larger angle. We know supplementary s 180 degrees.
so here's the equation we can set up.
7x+36+x=180 Combine like terms:
8x+36=180 Subtract 36 from both sides gives us:
8x=144 Now divide both sides by 8 gives us:
x=18 So now we know the smaller angle is 18 degrees.
The larger angle is 162 degrees.
RJ Toftness
www.math-unlock.com

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