Q. 134.5( 4 Votes )

# In a ΔABC if 2∠A = 3∠B = 6∠C, calculate the measure of ∠B.

Answer :

In a triangle sum of all angles = 180°

So, ∠A + ∠B + ∠C = 180°

It is given that-

∠A = 3/2 ∠B

∠C = � ∠B

So, ∠A + ∠B + ∠C = (3/2) ∠B + ∠B + (1/2) ∠B = 180°

3∠B = 180°

∠B = 60°

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