Find adjacent angles if their degree measures are 5: 7.

1. Let’s denote one part by x.

2. Find out the degree measure of the smaller of the adjacent angles:

5 * x = 5x.

3. Define the degree measure of the larger angle:

7 * x = 7x.

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

5x + 7x = 180˚;

12 x = 180˚;

x = 180˚: 12;

x = 15˚.

5. One part is equal to x = 15˚.

6. What is the degree measure of the smaller of the adjacent angles?

5 * x = 5 * 15˚ = 75˚.

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

7 * x = 7 * 15˚ = 105˚.

Answer: The degree of the smaller angle is 75˚, the degree of the larger angle is 105˚.