The difference in the degree measures of adjacent angles is 10 degrees. Find the corners.

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

2. Determine the degree measure of the larger angle:

(x + 10˚).

3. Since the sum of adjacent angles is 180˚, compose and solve the equation:

(x + 10˚) + x = 180˚;

x + 10˚ + x = 180˚;

2x + 10˚ = 180˚;

2x = 180˚ – 10˚;

2x = 170˚;

x = 170˚: 2;

x = 85˚.

4. The degree measure of the smaller angle is x = 85˚.

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

x + 10˚ = 85˚ + 10˚ = 95˚.

Answer: the degree measures of adjacent angles are 85˚ and 95˚.