The difference between the two angles of a parallelogram is 52 degrees. Find the angles of a 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 52 °.

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 °.

We denote by x ° one of the angles, then (x + 52) ° the second angle.

x + (x + 52) = 180;

x + x + 52 = 180;

2x = 180 – 52;

2x = 128;

x = 128: 2;

x = 64 ° is one pair of parallelogram angles, then 64 + 52 = 116 ° is the second pair of angles.

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