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

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) (Show Source): You can put this solution on YOUR website!

We know that angles in a triangle equal 180 deg.

Then it follows, , Working Eqn.

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

Angle C is 18 less than 6 imes angle A: , condt'n 2
Substitute the conditions in our Working Eqn:

--->
, Answer

Let's check by substituting in the condt'ns.
Condt'n 1:
Condt'n 2:

Then via Working Eqn:

Thank you,
Jojo

RELATED QUESTIONS
triangle ABC, angle B is 5 times angle A and angle C is 14 degrees less than 4 times... (answered by oberobic,palanisamy)
In a triangle ABC,angle B is 3 times angle A and angle C is 19 degrees less than 6 times... (answered by bucky)
In a triangle ABC, angle B is 3 times angle A and angle C is 4 degrees less than 6 times... (answered by rfer)
in a triangle abc angle b is 3 times angle a and angle c is 20 degrees less than 6 times... (answered by Big Poop)
In a triangle ABC, angle B is 3 times angle A and angle C is 7 degrees less than 6 times... (answered by cleomenius)
In triangle ABC, the size of angle B is 4 times the size of angle A, and the size of... (answered by Alan3354)
in a triangle ABC, angle B is four times angle A and angle C is 2 degrees less than 5... (answered by stanbon)
In a triangle ABC, angle B is 4 times angle A, angle C is 2 degrees less than 5 times... (answered by rfer)
In triangle ABC, the size of angle B is 3 times the size of angle A, and the size... (answered by Boreal)