Find the angles of a parallelogram if one angle is 36 degrees less than the other.

A parallelogram is a geometric figure in which opposite sides are equal and parallel. A parallelogram has opposite angles, and the sum of all the angles of a parallelogram is 360 degrees.

1. One angle of a parallelogram is x degrees.

2. The degree measure of the other angle of the parallelogram is (x – 36) degrees.

3. Let’s compose and solve the equation.

x * 2 + (x – 36) * 2 = 360;

2x + 2x – 72 = 360;

4x = 360 + 72;

4x = 432;

x = 432/4 = 108;

x = 108;

4. One angle of the parallelogram is x = 108 degrees.

5. Another angle is x – 36 = 108 – 36 = 72 degrees.

Answer: The angles of the parallelogram are: 108, 108, 72, 72 degrees.