SOLUTION: Tanya has a triangular garden bed in her back yard. The measure of the largest angle is 30° less than twice the measure of the smallest, and the measure of the middle angle is 10°

Algebra ->  Triangles -> SOLUTION: Tanya has a triangular garden bed in her back yard. The measure of the largest angle is 30° less than twice the measure of the smallest, and the measure of the middle angle is 10°      Log On


   



Question 977202: Tanya has a triangular garden bed in her back yard. The measure of the largest angle is 30° less than twice the measure of the smallest, and the measure of the middle angle is 10° more than the measure of the smallest angle. Find the measures of the three angles.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
l+m+s=180,
l=2s-30,
m=s+10
2s-30+s+10+s=180
4s-20=180
4s=200
s=50
l=2*50-30=100-30=70
m=50+10=60
l = 70, m = 60, s = 50