Find the angles of the parallelogram ABCD if the angle A-angle B = 56⁰.

In order to find the degree measure of the angles of a parallelogram, if from the condition we know that the difference between the angles adjacent to one of the sides is 56 °.

Let’s start by recalling what property angles adjacent to one side of a parallelogram have.

The sum of the angles adjacent to one side of the parallelogram is 180 °.

Let’s denote one of the angles as x °, then the second can be written as (x + 56) °.

x + (x + 56) = 180;

x + x + 56 = 180;

2x = 180 – 56;

2x = 124;

x = 124: 2;

x = 62 ° one pair of angles, 62 + 56 = 118 ° the second pair of numbers.