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

In triangle ABC, angle A is 2 times greater than angle B. The degree measure of angle C is 60 degrees. Determine the degree measure of angle A and angle B.

1. To compose the equations, we will use the notation of the angles of the triangle from the condition of the problem.

2. The first equation: A = 2 * B (angle A is twice the angle B).

3.A + B + C = 180 (the sum of the angles of the triangle is 180 °. Since C = 60 °, then
A + B = 120.

4. Substitute the expression for A from the first equation into the second equation. We get:
2 * B + B = 120. Or 3 * B = 120. Hence B = 40 °.

5. From the first equation A = 2 * 40 = 80 °.

Answer: angle A is 80 °, angle B is 40 °.