SOLUTION: In a triangle ABC, angle B is 3 times angle A and Angle C is 20 degrees less than 6 times angle A The size of Angle A is The size of Angle B is The size of Angle C is

Algebra ->  Triangles -> SOLUTION: In a triangle ABC, angle B is 3 times angle A and Angle C is 20 degrees less than 6 times angle A The size of Angle A is The size of Angle B is The size of Angle C is       Log On


   

Question 384107: In a triangle ABC, angle B is 3 times angle A and Angle C is 20 degrees less than 6 times angle A
The size of Angle A is
The size of Angle B is
The size of Angle C is
All answers need to be simplified. Type an integer or a decimal
I really need a good tutor.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For every triangle,
A%2BB%2BC=180
.
.
B=3A
C=6A-20
Substitute and solve for A.
A%2B3A%2B6A-20=180
10A=200
highlight%28A=20%29degrees
Then,
B=3%2820%29
highlight%28B=60%29degrees
And,
C=6%2820%29-20
C=120-20
highlight%28C=100%29degrees