SOLUTION: Two angles are supplementary. The measure of the smaller angle is one-half the measure of the larger angle. Find the degree measure of the larger angle.

Question 666082: Two angles are supplementary. The measure of the smaller angle is one-half the measure of the larger angle. Find the degree measure of the larger angle.
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Supplementary angles sum to 180.
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Establish variables
x = smaller angle
y = larger angle
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Given
x = y
x+y=180
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Substitute x into the second equation and solve for y, the larger angle
y + y = 180
Multiply both sides by 2 to be rid of the fraction
y + 2y = 360
3y = 360

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Check
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