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

Algebra ->  Angles -> 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      Log On


   



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) About Me  (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°