SOLUTION: the supplement of an angle is 7 times the complement. find the measure of the supplement.

Algebra ->  Angles -> SOLUTION: the supplement of an angle is 7 times the complement. find the measure of the supplement.      Log On


   

Question 350269: the supplement of an angle is 7 times the complement. find the measure of the supplement.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.A%2BS=180
2.A%2BC=90
3.S=7C
Subtract eq. 1 from eq. 2,
A%2BS-A-C=180-90
S-C=90
Substitute from eq. 3,
7C-C=90
6C=90
C=15degrees
Then from eq. 3,
highlight%28S=105%29degrees