The angle ABC is 2 times less than the angle MBC angle ABC = 150 ° Find the angle ABC and the angle MBC.

1. Let’s designate the angle ABC through x.

2. Determine the degree measure of the MBC angle:

2 * x = 2x.

3. Since the angle ABM = 150˚ compose and solve the equation:

2x + x = 150˚;

3x = 150˚;

x = 150˚: 3;

x = 50˚.

4. The degree measure of the MBC angle is x = 50˚.

5. What is the degree measure of the ABM angle?

2 * x = 2 * 50˚ = 100˚.

Answer: the degree measure of the MBC angle is 50˚, and the degree measure of the ABM angle is 100˚.