The two angles of a parallelogram are related as 5:13, find the difference between these angles.

In a parallelogram, there are two sharp identical opposite corners and two obtuse identical opposite corners. The sum of the acute and obtuse angles is 180 °. Let’s solve the problem using the equation, knowing the ratio of the acute and obtuse angles of the parallelogram. Let:
5x – acute angle of the parallelogram;
13x – obtuse angle of the parallelogram;
Let’s make the equation:
5x + 13x = 180;
18x = 180;
x = 180/18;
x = 10;
5x = 5 * 10 = 50 ° – acute angle;
13x = 13 * 10 = 130 ° – obtuse angle.
Find the angle difference:
130 – 50 = 80 °.
Answer: 80 °