SOLUTION: One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 30 degrees more than that of the smallest angle. Find th

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 30 degrees more than that of the smallest angle. Find th      Log On


   

Question 1137950: One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 30 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Found 2 solutions by VFBundy, Alan3354:
Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
Smallest angle = x
"One angle" = 3x
"Third angle" = x + 30

x + 3x + (x + 30) = 180

5x + 30 = 180

5x = 150

x = 30

Smallest angle = x = 30
"One angle" = 3x = 90
"Third angle" = x + 30 = 60

The largest angle is 90 degrees.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 30 degrees more than that of the smallest angle.
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S = smallest angle
3S is another angle
S + 30 is the 3rd angle
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Add them
S + 3S + S+30 = 180 (you know that, right?)
Find S
Then find the 3 angles
etc