Q. 85.0( 6 Votes )

# In a triangle ABC, if 2∠A = 3∠B = 6∠C, determine ∠a, ∠B and ∠C.

Answer :

In a triangle ABC, it is given that

2A = 3B = 6C

2A = 6C

⇒ ∠A = 3C

Similarly,3B = 6C

⇒ ∠B = 2C

We know that the sum of the angles of a triangle is 180°.

⇒ ∠A + B + C = 180°

3C + 2C + C = 180°

6C = 180°

⇒ ∠C = 30°

So, A = 3× C = 90°

B = 2× C = 60°

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