Find the angles of the parallelogram if angle A: angle B = 1: 5.

1. Let’s denote one part by x.

2. Determine the degree measure of the angle A:

1 * x = x.

3. Find out what the degree measure of angle B is equal to:

5 * x = 5x.

4. Let’s compose and solve the equation:

5x + x = 180˚;

6x = 180˚;

x = 180˚: 6;

x = 30˚.

5. One part is equal to x = 30˚.

6. What is the degree measure of angle A?

1 * x = 1 * 30˚ = 30˚.

7. What is the degree measure of angle B?

5 * x = 5 * 30˚ = 150˚.

Answer: the angles of the parallelogram are 30˚, 150˚, 30˚, 150˚.