In triangle ABC, angle A is 2 times greater than angle B and angle C is 3 times greater than angle A.

In triangle ABC, angle A is 2 times greater than angle B and angle C is 3 times greater than angle A. Calculate the values of the angles of triangle ABC

let the angle B = x, then the angle A = 2x, and the angle C = 6x. in the triangle, the sum of the angles is only 180 °. Let us make the equation
x + 2x + 6x = 180
9x = 180
x = 20 = angle B
20 * 2 = 40 angle A
40 * 3 = 120 angle C
answer: 40; 20; 120