SOLUTION: The smallest angle in a triangle is 1/9 as large as the largest angle. The third angle is five times the smallest angle. Find the three angles. (

Algebra ->  Triangles -> SOLUTION: The smallest angle in a triangle is 1/9 as large as the largest angle. The third angle is five times the smallest angle. Find the three angles. (      Log On


   

Question 355707: The smallest angle in a triangle is 1/9 as large as the largest angle. The third angle is five times the smallest angle. Find the three angles. (
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let the three angles be A,B and C from smallest to largest.
Since it's a triangle,
A%2BB%2BC=180
.
.
.
A=%281%2F9%29C
C=9A
.
.
B=5A
Substitute,
A%2B5A%2B9A=180
15A=180
highlight%28+A=12%29degrees
Then,
B=5%2812%29
highlight%28B=+60%29degrees
And,
C=9%2812%29
highlight%28+C=108%29degrees