SOLUTION: the measure of two supplementary angles are in the ratio 5:7. what is the measure of the larger angle?

Algebra ->  Points-lines-and-rays -> SOLUTION: the measure of two supplementary angles are in the ratio 5:7. what is the measure of the larger angle?       Log On


   



Question 567286: the measure of two supplementary angles are in the ratio 5:7. what is the measure of the larger angle?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
the measure of two supplementary angles are in the ratio 5:7.
what is the measure of the larger angle?
:
Let x = the multiplier
then
one angle = 5x
other angle = 7x
Supplementary, therefore
5x + 7x = 180
12x = 180
x = 180/12
x = 15 is the multiplier
:
therefore, the angle are:
15*5 = 75 degrees
15*7 = 105 degrees is the larger angle