Find the angles of the triangle ABC if the angle A is 60 degrees less than the angle B and 2 times less than the angle C.

1. Let’s denote the degree measure of the angle A through x.

2. Determine the degree measure of the angle B:

(x + 600).

3. Find out the degree measure of the angle C:

2 * x = 2x.

4. Let’s compose and solve the equation:

2x + x + (x + 600) = 180;

2x + x + x + 600 = 180;

4x + 600 = 180;

4x = 180 – 60;

4x = 120;

x = 120: 4;

x = 30.

5. The degree measure of angle A is 30.

6. What is the degree measure of angle B?

30 + 60 = 90.

7. What is the degree measure of the angle C?

2 * 30 = 60.

Answer: the angles of the triangle ABC are equal to 30, 60, 90.