One of the corners of the parallelogram is 50 degrees larger than the other. find all the angles of the 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 angles of the parallelogram is 50 ° 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 the second we will denote as (x + 50).

x + (x + 50) = 180;

2x = 180 – 50;

2x = 130;

x = 65 ° one pair of angles, 65 + 50 = 115 ° a second pair of angles.