One of the adjacent angles is 20 degrees larger than the other. Find these adjacent corners.

1. Let us denote the degree measure of the smaller of the adjacent angles by x.

2. Determine the degree measure of the larger angle:

(x + 20˚).

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

(x + 20˚) + x = 180˚;

x + 20˚ + x = 180˚;

2x + 20˚ = 180˚;

2x = 180˚ – 20˚;

2x = 160˚;

x = 160˚: 2;

x = 80˚.

4. The degree measure of the smaller of the adjacent angles is x = 80˚.

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

x + 20˚ = 80˚ + 20˚ = 100˚.

Answer: the degree of the smaller angle is 80˚, the degree of the larger angle is 100˚.