The acute angle of a parallelogram is 5 times less than its obtuse angle. Find the angles of this parallelogram.

1. Let’s denote the acute angle of the parallelogram through x.

2. Let’s define the degree measure of an obtuse angle:

5 * x = 5x.

3. Let’s compose and solve the equation:

5x + x = 180˚;

6x = 180˚;

x = 180˚: 6;

x = 30˚.

4. The degree measure of the acute angle is x = 30˚.

5. What is the degree measure of the obtuse angle of a parallelogram?

5 * x = 5 * 30˚ = 150˚.

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