SOLUTION: two angles are supplementary . if the measure of the larger angle is 20 degrees less than 4 times the measure of the smaller angle , what is the measure of the larger angle ?

SOLUTION: two angles are supplementary . if the measure of the larger angle is 20 degrees less than 4 times the measure of the smaller angle , what is the measure of the larger angle ?

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Question 692522:
two angles are supplementary . if the measure of the larger angle is 20 degrees less than 4 times the measure of the smaller angle , what is the measure of the larger angle ?
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
L+S=180
L=4S-20
(4S-20)+S=180
5S=180+20
5S=200/5
S=40 DEGREES FOR THE SMALLER ANGLE.
L=4*40-20
L=160-20
L=140 DEGREES FOR THE LARGER ANGLE.
PROOF:
140+40=180
180=180
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