If the difference in the degree measures of angles with correspondingly parallel sides is 26 degrees

If the difference in the degree measures of angles with correspondingly parallel sides is 26 degrees, find the difference in the squares of these angles.

By condition, the angles are not equal, so the angles are directed in opposite directions, and the sum of the angles is 180 degrees.
Let α be the angle between the first two sides, β – the angle between two other sides parallel to the first two, respectively.
Then, taking into account the condition, you can compose a system of equations:
α – β = 26;
α + β = 180.
Hence,
α ^ 2 – β ^ 2 = (α – β) * (α + β) = 26 * 180 = 4680 degrees ^ 2.