SOLUTION: Two angles are supplementary. One angle measures 15 degrees more than 4 times the other. what is the measure of the larger angle in degrees?

Question 970045: Two angles are supplementary. One angle measures 15 degrees more than 4 times the other. what is the measure of the larger angle in degrees?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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S=smaller angle; L=larger angle=4S+15 degrees
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S+L=180 degrees Substitute for L.
S+4S+15 degrees=180 degrees Subtract 15 degrees from each side.
5S=165 degrees Divide each side by 5.
S=33 degrees The smaller angle is 33 degrees.
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L=4S+15 degrees=4(33 degrees)+15 degrees=132 degrees+15 degrees=147 degrees
ANSWER: The larger angle is 147 degrees.

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