SOLUTION: two angles are supplementary. the larger angle measures 15 degrees less than twice the smaller. find the degree measure of each angle.

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Question 588247: two angles are supplementary. the larger angle measures 15 degrees less than twice the smaller. find the degree measure of each angle.
Answer by amruta(4) About Me  (Show Source):
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let the smaller angle be 'x'
the larger angle will be '2x-15'
i.e. x+2x-15=180 9supplementry angles property)
3x=195
x=65
smaller angle measures 65 degrees while the larger measures 115 degrees.