Angles A and B are adjacent, Angle A is 50 degrees greater than angle B. Calculate their degree measures.

1. Let’s denote the angle B through x.

2. Determine the degree measure of the angle A:

(x + 50˚).

3. Since the angles A and B are adjacent, then we compose and solve the equation:

(x + 50˚) + x = 180˚;

x + 50˚ + x = 180˚;

2x + 50˚ = 180˚;

2x = 180˚ – 50˚;

2x = 130˚;

x = 130˚: 2;

x = 65˚.

4. The degree measure of the angle B is equal to x = 65˚.

5. What is the degree measure of angle A?

x + 50˚ = 65˚ + 50˚ = 115˚.

Answer: the degree measure of angle A is 115˚, the degree measure of angle B is 65˚.