The difference between the angles of the parallelogram adjacent to one side is 124 degrees. Find a smaller angle.

The condition says that the difference between the angles adjacent to one side of the parallelogram is 124 °.

To answer the question of the problem, let us first of all recall the properties of the angles of a given geometric figure.

We know, according to the properties of the angles of a parallelogram, that the sum of the angles of a parallelogram adjacent to one of its sides is 180 °.

Let’s introduce the variable x ° – one angle, then we will write the second angle as (x – 124) °.

We get the equation:

x + (x – 124) = 180;

x + x – 124 = 180;

2x = 180 + 124;

2x = 304;

x = 152 ° larger angle and 152 – 124 = 28 ° smaller parallelogram angle.