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

To find the angles of a triangle ABC, write an equation and find its roots. It is known that the sum of all the angles of a triangle is 180 °. Let us take the value <B for x, then <A is equal to 2x, and <C will be 6x. We get the equation:

x + 2x + 6x = 180;

9x = 180;

x = 180: 9;

x = 20 °;

2x = 2 * 20 = 40 °;

6x = 6 * 20 = 120 °.

Answer: <A = 40 °, <B = 20 °, <C = 120 °.