One of the corners of the parallelogram is 8 times larger than the other. Find the angles of a parallelogram

In order to find all the angles of the parallelogram, we will compose and solve the equation. Let’s start by looking at what is known from the condition. One of the corners of the parallelogram is 8 times larger than the other.

There are two kinds of angles in a parallelogram:

1. opposing and they have the property – are equal to each other;

2. adjacent to one side – their sum is 180 °.

In the condition we are talking about the corners adjacent to one side.

Let’s denote by x one of the corners, and denote the other as 8x.

x + 8x = 180;

9x = 180;

x = 180: 9;

x = 20 ° one pair of angles, 20 * 8 = 160 ° the second pair of angles.