SOLUTION: in triangle ABC, angle A=6x+11, Angle B=3x-1, and Angle C=5x+2. Solve for x and find the measure of each interior angle. Also, find the measure of the exterior angle at B.

Algebra ->  Triangles -> SOLUTION: in triangle ABC, angle A=6x+11, Angle B=3x-1, and Angle C=5x+2. Solve for x and find the measure of each interior angle. Also, find the measure of the exterior angle at B.      Log On


   

Question 360969: in triangle ABC, angle A=6x+11, Angle B=3x-1, and Angle C=5x+2. Solve for x and find the measure of each interior angle. Also, find the measure of the exterior angle at B.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the interior angle of a triangle are 180.
A%2BB%2BC=180
6x%2B11%2B3x-1%2B5x%2B2=180
14x%2B12=180
14x=168
x=12
.
.
A=12%2B11
highlight%28A=33%29degrees
.
.
B=36-1
highlight%28B=35%29degrees
.
.
C=60%2B2
highlight%28C=62%29}degrees
.
.
B%5Bin%5D%2BB%5Bext%5D=360
35%2BB%5Bext%5D=360
B%5Bext%5D=325degrees