SOLUTION: two angles are supplementary if their sum is 180 degrees. the larger angle measures six degrees more then five times the measure of the smaller angle. if x represents the measure o

Question 843654: two angles are supplementary if their sum is 180 degrees. the larger angle measures six degrees more then five times the measure of the 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 1335(25) (Show Source): You can put this solution on YOUR website!
You know that y=6+(5x) and that x+y=180.
Plug the first equation into the second for y.
x+6+5x=180.
Next combine like terms: 6x+6=180
Subtract 6 from both sides: 6x=174
Divide by 6 on both sides: x=29�
Plug x into the original equation: 29+y=180
Subtract 29 from both sides: y=151�
RELATED QUESTIONS
Two angles are supplementary if their sum is 180 degrees. The larger angle measures six... (answered by Fombitz)

If the sum of the measures of two angles is 180 degrees, then the angles are... (answered by Boreal)

two angles are supplementary of their sum is 180. the larger angle measures thirty... (answered by josgarithmetic)

Two angles are supplementary if their sum is 180 degrees. The larger angle measures four... (answered by Gogonati)

Two angles are supplementary if their sum is 180�. The larger angle measures six... (answered by sbro7568)

Two angles are supplementary if their sum is 180 degrees. The larger angle measures of a... (answered by richard1234,fractalier)

Two angles are said to be supplementary if their sum is 180 degrees. Suppose you have two (answered by Alan3354)

Two angles are supplementary if their sum equals 180. The larger angle is five degrees... (answered by algebrahouse.com)

Two angles are supplementary if their sum is 180�. The larger angle measures four degrees (answered by jorel555)