Question

In AABC, C = 3, B = 2(A+B) then B
a] 20°
b] 40°
c] 60°
d) 80°​

Answer 1

Step-by-step explanation:

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

∘

Answer 2

Answer:

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

=> angle A+B+C=180°………(1)

Explanation:

Also given that,

angle c=3 angle B and 3 angle B=2angleA+2angleB

angleA=AngleB/2

substituting values in (1), we get

angle B/2+angle B +3 angle B=180°

therefore, angle B=40°

angle A=20°

angle C=120°