Question

In a triangle ABC, if 2∠A = 3∠B = 6∠C, then the measure of ∠B is (a) 30 degree (b) 75 degree c) 90 degree (d) 60 degree

Answer 1

According to the properties of a triangle, the sum of its interior angles is 180 degrees.

So, A+B+C=180

Again, 2A=3B=6C (given)

=> A=3C and B=2C

On substituting in 1st equation we get -

3C+2C+C=180 => 6C=180 => C=30 degree

Thus, B=2C=2×30=60 degrees

Thus, option d is correct