SOLUTION: the second angle of a triangle is three times the first,and the third is 12 degree less than twice the first .find the measure of the angle?

Algebra ->  Linear-equations -> SOLUTION: the second angle of a triangle is three times the first,and the third is 12 degree less than twice the first .find the measure of the angle?       Log On


   

Question 678491: the second angle of a triangle is three times the first,and the third is 12 degree less than twice the first .find the measure of the angle?

Answer by rm29924(97) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of angles in a triangle add up to 180 degrees
let x=the first angle
the second angle=3x
the third angle=2x-12
x+3x+2x-12=180
6x-12=180
6x=192
x=32
answer: the first angle is 32 degrees
if you need the measurement of the other angles plug in x
second angle = 3x
3(32)
96
third angle is 2x-12
2(32)-12
64-12
52