SOLUTION: In a triangle ABC, angle B is 3 times angle A and angle C is 18 less than 6 times angle A. find the size of the angles. The size of angle A is? The size of angle B is? The size of

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: In a triangle ABC, angle B is 3 times angle A and angle C is 18 less than 6 times angle A. find the size of the angles. The size of angle A is? The size of angle B is? The size of      Log On


   

Question 261100: In a triangle ABC, angle B is 3 times angle A and angle C is 18 less than 6 times angle A. find the size of the angles. The size of angle A is? The size of angle B is? The size of angle C is?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


We know that angles in a triangle equal 180 deg.

Then it follows, A%2BB%2BC=180%5Eo, Working Eqn.

Let us see the conditions:
Angle B is 3 times angle A: B=3A, condt'n 1

Angle C is 18 less than 6 imes angle A: C=6A-18, condt'n 2
Substitute the conditions in our Working Eqn:
A%2Bred%283A%29%2Bred%286A-18%29=180%5Eo
10A=180%2B18=198 ---> cross%2810%29A%2Fcross%2810%29=cross%28198%2919.8%2Fcross%2810%29
red%28A=19.8%5Eo%29, Answer

Let's check by substituting in the condt'ns.
Condt'n 1: B=3%2819.8%29=59.4%5Eo
Condt'n 2: C=6%2819.8%29-18=-118.8-18=100.8%5Eo

Then via Working Eqn:
A%2BB%2BC=180%5Eo
19.8%2B59.4%2B100.8=180%5Eo
180%5Eo=180%5Eo

Thank you,
Jojo