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) About Me  (Show Source):
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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˚