SOLUTION: Two angles are supplementary if their sum is 180 degrees. The larger angle measures six degrees more than five times the measure of a smaller angle. If x represents the measure of

Algebra ->  Angles -> SOLUTION: Two angles are supplementary if their sum is 180 degrees. The larger angle measures six degrees more than five times the measure of a smaller angle. If x represents the measure of       Log On


   



Question 946047: Two angles are supplementary if their sum is 180 degrees. The larger angle measures six degrees more than five times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let y be the larger angle.
x%2By=180
y=6%2B5x
Substituting,
x%2B6%2B5x=180
6x%2B6=180
6x=174
x=29
Then,
29%2By=180
y=151