SOLUTION: two angles are supplementary. the measure of one angle is twice as large as the measure of the other. find the number of degrees in each angle.

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Question 295189: two angles are supplementary. the measure of one angle is twice as large as the measure of the other. find the number of degrees in each angle.
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
let 1st angle = x
so the 2nd angle = 180 - x (because they are supplementary)
1st angle = 2 times of 2nd angle
x = 2(180 - x)
x = 360 - 2x
x + 2x = 360
3x = 360
x = 360/3
x = 120

so, the 1st angle = x = 120 degrees
and the 2nd angle = 180 - x = 180 - 120 = 60 degrees