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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