SOLUTION: In triangle ABC, the measure of ange B is 5 degrees more than 3 times the measure of Angle A. The measure of angle C is 15 degrees more than the measure of angle A. What is the

Algebra ->  Angles -> SOLUTION: In triangle ABC, the measure of ange B is 5 degrees more than 3 times the measure of Angle A. The measure of angle C is 15 degrees more than the measure of angle A. What is the      Log On


   

Question 727418:
In triangle ABC, the measure of ange B is 5 degrees more than 3 times the measure of Angle A. The measure of angle C is 15 degrees more than the measure of angle A. What is the meaasure of Angle C?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
a+b+c=180
b=3a
c=a+15
a+3a+a+15=180
5a=180-15
5a=165
a=165/5
a=33 ans. for angle a.
b=3*3=99 ans. for angle b.
c=33+15=48 ans. for angle c.
Proof:
33+99+48=180
180=180