One of the angles of a parallelogram is 26 degrees larger Find the angles of a parallelogram.

We know from the condition that one of the angles of the parallelogram is 26 ° greater than the second angle. In order to find the angles of the parallelogram, we will compose and solve the equation.

Let’s start by recalling the properties of the angles of a parallelogram.

In a parallelogram, opposite angles are equal to each other. And the sum of the angles adjacent to one side is 180 °.

Let us denote by the variable x ° one of the angles of the parallelogram, then (x + 26) °.

We get the equation:

x + (x + 26) = 180;

x + x + 26 = 180;

2x = 180 – 26;

2x = 154;

x = 154: 2;

x = 77 ° and (77 + 26) = 103 °.