One of the angles of the parallelogram is 47 degrees. Find the other angles.

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

The opposite angles of the parallelogram are equal.

And also the sum of the inner corners 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 equal to 47 °.

Let’s introduce a variable. Let x be the degree measure of the angle adjacent to it to one side.

We get the equation:

x + 47 = 180;

x = 180 – 47;

x = 133 °.

Answer: two angles of 47 ° and two angles of 133 °.