# The difference between the angles to one side of the parallelogram is 22 degrees, find the smaller angle of the parallelogram.

July 26, 2021 | education

| To answer the question of the problem – what degree measure is the smaller angle of the parallelogram we will solve the equation. But first, let’s remember the properties of the angles of a parallelogram.

The condition says that the difference between the angles adjacent to one side of the parallelogram is 22 °.

The property of the angles of a parallelogram says that the sum of the angles adjacent to one side is 180 °.

Let x ° be one angle, then the second is (x – 22) °.

We have the equation:

x + (x – 22) = 180;

x + x – 22 = 180;

2x = 180 + 22;

2x = 202;

x = 101 ° is a larger angle and 101 – 22 = 79 ° is a smaller angle.

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