One of the corners of the parallelogram is 40 degrees larger than the other. Find the angles of the parallelogram.

A parallelogram has equal opposite angles. The angles of a parallelogram add up to 360 degrees.

1) The degree measure of one of the angles of the parallelogram is x degrees.

2) The degree measure of the other angle of the parallelogram is (x + 40) degrees.

3) Let’s compose and solve the equation.

x * 2 + (x + 40) * 2 = 360;

2x + 2x + 80 = 360;

4x = 360 – 80;

4x = 280;

x = 280/4 = 70;

x = 70;

4) The degree measure of one of the angles is x = 70 degrees.

5) The degree measure of the other angle is x + 40 = 70 + 40 = 110 degrees.

Answer: The angles of the parallelogram are 70, 70, 110, 110 degrees.