SOLUTION: The three angles of a triangular flag are x, twice the complement of x, and 0ne- eighth the supplement of x. Find the angle measures

Algebra ->  Angles -> SOLUTION: The three angles of a triangular flag are x, twice the complement of x, and 0ne- eighth the supplement of x. Find the angle measures      Log On


   

Question 914971: The three angles of a triangular flag are x, twice the complement of x, and 0ne- eighth the supplement of x. Find the angle measures
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B2C%5Bx%5D%2B%281%2F8%29S%5Bx%5D=180
C%5Bx%5D%2Bx=90
C%5Bx%5D=90-x
S%5Bx%5D%2Bx=180
S%5Bx%5D=180-x
Substituting,
x%2B2%2890-x%29%2B%281%2F8%29%28180-x%29=180
Multiply both sides by 8.
8x%2B16%2890-x%29%2B180-x=1440
8x%2B1440-16x%2B180-x=1440
-9x=-180
x=20
C%5Bx%5D=70
S%5Bx%5D=160