SOLUTION: One angle of a triangle is three times as large as another. The measure of the third angle is 40 degrees more than that of the smallest angle. Find the measure of each angle.

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Question 364463: One angle of a triangle is three times as large as another. The measure of the third angle is 40 degrees more than that of the smallest angle. Find the measure of each angle.
Found 2 solutions by mananth, Fombitz:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the angle be x
the second angle = 3x
..
the third angle = x+40
...
x+3x+x+40=180
5x+40=180
-40
5x=180-40
5x=140
/5
x=28 deg.
...
second angle = 3x=84 deg
third angle = 40+28 = 68 deg.
..
28+84+68=180
...
m.ananth@hotmail.ca

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A, B, and C be the angle from smallest to largest.
By defintion,
A%2BB%2BC=180
.
.
B=3A
C=40%2BA
.
.
.
Substituting,
A%2B3A%2B40%2BA=180
5A%2B40=180
5A=140
highlight%28A=28%29degrees
Then
B=3%2828%29
highlight%28B=84%29degrees
And
C=40%2B28
highlight%28C=68%29degrees