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

July 24, 2021 | education

| 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˚.

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