One corner of a parallelogram is 5 times smaller than the other, find its corners.

In order to find the angles of a parallelogram, we will compose and solve an equation. but first, let’s remember what kinds of angles there are in a parallelogram.

So, there are two types of angles in a parallelogram:

1. opposite – their degree measure is equal; 2. adjacent to one side – their sum is 180 °.

The condition says that one corner of the parallelogram is 5 times smaller than the other, and most likely we are talking about the corners adjacent to one side.

Let x be one angle, then 5x is the second angle.

x + 5x = 180;

6x = 180;

x = 30 ° one of the corners and 30 * 5 = 150 ° the second angle.