The difference between the two angles of the parallelogram is 40. Find all the angles of the parallelogram.

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

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

(x + 40˚).

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

x + (x + 40˚) = 180˚;

x + x + 40˚ = 180˚;

2x + 40˚ = 180˚;

2x = 180˚ – 40˚;

2x = 140˚;

x = 140˚: 2;

x = 70˚.

4. The degree measure of the smaller of the angles of the parallelogram is x = 70˚.

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

x + 40˚ = 70˚ + 40˚ = 110˚.

Answer: the angles of the parallelogram are 70˚, 110˚, 70˚, 110˚.