One angle of a parallelogram is 20 degrees less than the other. Find the angles of a parallelogram.

In order to find the angles of a parallelogram, we will compose and solve an equation.

Let’s look at what we know from the condition. The condition says that one angle of the parallelogram is 20 ° less than the other.

There are two kinds of angles in a parallelogram:

1. opposite – they are equal to each other;

2. one-sided – their sum is 180 °.

In our case, we are talking about one-sided. Let’s denote by x one of the angles, then x – 20 the second angle.

x + x – 20 = 180;

2x = 180 + 20;

2x = 200;

x = 200: 2;

x = 100 ° larger angle and 100 – 20 = 80 ° smaller angle.