SOLUTION: two angles are supplementary. the measure of one angle is 30 degrees smaller than twice the other. Find the measure of each angle.

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Question 844349: two angles are supplementary. the measure of one angle is 30 degrees smaller than twice the other. Find the measure of each angle.
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
two angles are supplementary. the measure of one angle is 30 degrees smaller than twice the other. Find the measure of each angle.
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let x=one angle
let y=other angle
x+y=180
y=180-x
x=2y-30
x=2(180-x)-30
x=360-2x-30
3x=330
x=110˚
y=180-x=70˚
one angle=110˚
other angle=70˚

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