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

In order to find the angles of a parallelogram, we will argue as follows.

The condition says that the difference between the two angles of the parallelogram is 40 °.

There are two pairs of opposite angles in a parallelogram, but they are equal to each other.

And also there are angles adjacent to one side and their sum is 180 °.

Let’s denote by x ° one of the angles, then (x + 40) ° the second angle.

x + (x + 40) = 180;

x + x + 40 = 180;

2x = 180 – 40;

2x = 140;

x = 140: 2;

x = 70 ° is one pair of parallelogram angles, then 70 + 40 = 110 ° is the second pair of angles.