The angle ABC is 2 times less than the angle MBC angle ABC = 150 ° Find the angle ABC and the angle MBC.
June 24, 2021 | education
| 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˚.
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