One of the angles of a parallelogram is 42 degrees. Find the degree measures of the other angles?

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 42 °.

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 °.

One pair of opposite angles is 42 °.

Let’s denote the second angle by x °. Let’s make the equation

x + 42 = 180;

x = 180 – 42;

x = 138 ° second pair of parallelogram angles.