In triangle ABC, angle B is twice angle A, and angle C is three times angle A. What is the measure of angle B?

✓ Correct Answer: Option B

Let angle A = x. Then angle B = 2x and angle C = 3x. The sum of angles in a triangle is 180 degrees, so x + 2x + 3x = 180. This simplifies to 6x = 180, so x = 30 degrees. Angle B = 2x = 2(30) = 60 degrees.