Question

13no ka ans chaye with full solution ​

Answer 1

Answer: ∠B = 60°

Step-by-step explanation:

Given,

2∠A = 3∠B = 6∠C

⇒ ∠A = $\frac{3}{2}$∠B  ....(1)

⇒ ∠C = $\frac{3}{6}$∠B = $\frac{1}{2}$∠B  ....(2)

In a triangle, sum of all angles is 180°.

⇒ ∠A + ∠B + ∠C = 180°

By substituting (1) and (2),

⇒ $\frac{3}{2}$∠B + ∠B + $\frac{1}{2}$∠B = 180

⇒ $\frac{3+2+1}{2}$∠B = 180

⇒ $\frac{6}{2}$∠B = 180

⇒ 3∠B = 180

⇒ ∠B = 180/3 = 60°

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