SOLUTION: In a specific triangle, the largest angle is three times the smallest angle, and the smallest angle is 30 degrees less than the middle angle. What are the values of all three angle

Algebra ->  Triangles -> SOLUTION: In a specific triangle, the largest angle is three times the smallest angle, and the smallest angle is 30 degrees less than the middle angle. What are the values of all three angle      Log On


   

Question 702219: In a specific triangle, the largest angle is three times the smallest angle, and the smallest angle is 30 degrees less than the middle angle. What are the values of all three angles?
S=
M=
L=


I have L=3s and S=M-30
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
All 3 angles must add to 180, so

S+M+L = 180

Plug in L = 3S to get

S+M+3S = 180

4S+M = 180

Then plug in S = M-30 to get

4(M-30)+M = 180

4M-120+M = 180

Solve this for M. Once you have M, you can find S using S = M-30. Once you have S, you can find L using L = 3S.