One of the corners of the parallelogram is 26 degrees larger than the other. Find all the angles of the paralleleogram.

In order to find all the angles of the parallelogram, we will compose and solve the equation.

But first of all, let’s remember the properties of the angles of a parallelogram.

Opposite angles are equal to each other, and the sum of the angles adjacent to one side is 180 °.

It is known from the condition that one of the angles of the parallelogram is 26 ° larger than the other.

Let’s denote by x ° the smaller angle of the parallelogram, then (x + 26) °.

Let’s make the equation:

x + (x + 26) = 180;

Let’s open the brackets:

x + x + 26 = 180;

we give similar:

2x + 26 = 180;

2x = 180 – 26;

2x = 154;

x = 154: 2;

x = 77 °, then 77 + 26 = 103 °.

Answer: 77 °; 77 °; 103 °; 103 °.