One of the angles of the parallelogram is 45. What are the other angles?

In order to find the degree measure of the three remaining angles of a parallelogram, we recall the properties of the angles of a parallelogram and what is the sum of the angles adjacent to one side.

So, the opposite angles of the parallelogram are equal.

And also the sum of the inner angles of the parallelogram adjacent to one side is equal to 180 °.

From the condition, we know the degree measure of one of the angles of the parallelogram and it is 45 °.

Let us denote by the variable x the degree measure of the angle adjacent to it to one side.

We get the equation:

x + 45 = 180;

x = 180 – 45;

x = 135 °.

So, two angles of 45 ° and two angles of 135 °.