One of the angles of the parallelogram has a value 5 times the value

One of the angles of the parallelogram has a value 5 times the value of its other angle. Find the values of the remaining angles of the parallelogram.

1. Let’s denote the smaller of the angles of the parallelogram by x.

2. Define the degree measure of the greater angle of the parallelogram:

5 * x = 5x.

3. Using the property of the angles of the parallelogram, compose and solve the equation:

5x + x = 180˚;

6x = 180˚;

x = 180˚: 6;

x = 30˚.

4. The degree measure of the smaller of the angles of the parallelogram is x = 30˚.

5. What is the degree measure of the greater angle of the parallelogram?

5 * x = 5 * 30˚ = 150˚.

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