Question

in a triangle abc angle C is 3, angle B is 2 (A+B). find three angles
​

Answer 1

Step-by-step explanation:

7th

Maths

The Triangle and Its Properties

Exterior Angle of a Triangle

In a ABC , C = 3 B = 2 (...

MATHS

In a △ABC, ∠C=3∠B=2(∠A+∠B). The three angles will be _________.

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