One of the corners of an isosceles trapezoid is 162 degrees, find the rest of the corners.

To answer the question of the problem – to find the angles of an isosceles trapezoid, we will solve an equation that we will compose based on the properties of the angles of an isosceles trapezoid.

An isosceles trapezoid has angles at each of its bases and they are equal in pairs.

The condition says that one of the angles of an isosceles trapezoid is 162 °.

These are the angles adjacent to the lateral side (one-sided) and their sum is 180 °.

Let x be an unknown angle.

x + 162 = 180;

x = 180 – 162;

x = 18 °.

One pair of angles with one base is equal to 162 °, and the second is 18 °.