SOLUTION: two angles are supplementary. the measure of the larger angle is four times the measure of the smaller angle. find the measure of each angle.

SOLUTION: two angles are supplementary. the measure of the larger angle is four times the measure of the smaller angle. find the measure of each angle.

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Question 528584: two angles are supplementary. the measure of the larger angle is four times the measure of the smaller angle. find the measure of each angle.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Two angles are supplementary.
x + y = 180 degrees
.
x = 4y
.
Substitute
.
4y + y = 180
5y = 180
y = 36
.
4y = 4*36 = 144
.
Check
36+144 = 180
.
Answer: The two angles are 36 and 144 degrees.
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