Find all angles of a parallelogram if one of them is 36 ° less than the other.

1. Let’s denote the degree measure of the smaller angle of the parallelogram through x.

2. Let us determine the degree measure of the greater angle of the parallelogram:

(x + 36˚).

3. Let’s compose and solve the equation:

(x + 36˚) + x = 180˚;

x + 36˚ + x = 180˚;

2x + 36˚ = 180˚;

2x = 180˚ – 36˚;

2x = 144˚;

x = 144˚: 2;

x = 72˚.

4. The degree measure of the smaller angle of the parallelogram is x = 72˚.

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

180˚ – 72˚ = 108˚.

Answer: the angles of the parallelogram are 72˚, 108˚, 72˚, 108˚.