Find the angles of the parallelogram, considering that one of them is 40 ° less than the other.

Let’s solve the problem using the equation.
In order to draw up the correct equation, you need to remember some of the properties of this figure:
1. The sum of all the angles of a parallelogram is 360 °.
2. Opposite angles in a parallelogram are equal in pairs.
Let x ° be the first angle of the parallelogram, then x + 40 ° is the second angle. Since the sum of all angles is 360 °, we have the following equation:
(x + (x + 40)) * 2 = 360;
Reduce the equation by two:
x + x + 40 = 180;
2x = 180 – 40;
2x = 140;
x = 140: 2;
x = 70 ° – the first angle;
70 + 40 = 110 ° – second angle;
Answer: 70 ° and 110 °.