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 844875: 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 Cromlix(4381) (Show Source): You can put this solution on YOUR website!
If two angles are supplementary they equal
to 180 degrees when added.
Small angle = x degrees
Large angle = 15 + 4x degrees.
x + (15 + 4x) = 180
x + 15 + 4x = 180
5x + 15 = 180
5x = 180 - 15
5x = 165 degrees
x = 33 degrees.
Small angle = 33 degrees
Larger angle = 147 degrees.
Hope this helps.
:-)
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