SOLUTION: In a triangle, the measure of angle A is 116. The measure of angle B is 3 times the measure of angel C. Find the measure of angle B and measure of angle C.

Algebra ->  Triangles -> SOLUTION: In a triangle, the measure of angle A is 116. The measure of angle B is 3 times the measure of angel C. Find the measure of angle B and measure of angle C.      Log On


   

Question 243054: In a triangle, the measure of angle A is 116. The measure of angle B is 3 times the measure of angel C. Find the measure of angle B and measure of angle C.
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Since it's a triangle, we know the sum of A + B + C = 180.
We're told
A = 116
And we're told
B = 3*C
Substituting into the basic equation:
116 + B + C = 180
116 + 3C + C = 180
116 + 4C = 180
4C = 64
C = 16
Looking back at what we're told:
B = 3C = 3(16) = 48
Checking our work:
Does A + B + C = 180?
116 + 48 + 16 = 180? Yes it does!