Question

In triangle ABC' C=3B=2(A+B).Find A, Band C

Answer 1

In a triangle ABC angle C =3 angle B = 2 (angle A+ angle B). What are the three angles?

C = 2(A+B)

C = 3B, or

2(A+B) = 3B, or

2A+2B=3B, or

B=2A.

C =2(A+2A) = 6A

A+2A+6A = 180 or 9A = 180.

Or A = 20 deg. B = 40 deg, C = 120 deg.

Answer 2

Answer:

We know that in a △, the sum of all the interior angles is 180

 

⇒∠A+∠B+∠C=180 ........(1)

Also given that,

∠C=3∠B and 3∠B=2∠A+2∠B

∠A=2

∠B Substituting values in (1), we get

2 ∠B  +∠B+3∠B=180  

∴∠B=40  

  ∠A=20

∠C=120  

Hope this helps!!

Please mark me as brainliest

Thank you