The angles of the parallelogram adjacent to one side differ by 36 degrees. Find the angles of the parallelogram.

In order to find the angles of a parallelogram, you and I must first of all remember what pairs of angles are in the parallelogram and what properties they have.

There are two pairs of angles in a parallelogram:

1. opposite – their degree measure is equal to each other.

2. angles adjacent to one of the sides of the parallelogram. Their total sum is 180 °.

We know that the degree measure of the angles adjacent to one of the sides differs by 36 °.

Let x ° be one of the angles, then (x + 36) ° is the second angle.

x + (x + 36) = 180;

x + x + 36 = 180;

2x = 180 – 36;

2x = 144;

x = 144: 2;

x = 72 ° two angles and 72 + 36 = 108 ° second pair of angles.

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