Find the largest angle of a trapezoid if one of the angles is 60 degrees, and the opposite is 110 degrees.

A trapezoid is a quadrilateral in which one pair of opposite sides is parallel, and the sides are not equal to each other.

The sum of the inner angles of the trapezoid is 360 °, and those adjacent to the lateral side are 180 °:

∠А = 60º;

∠С = 110º;

∠А + ∠В = 180º;

∠С + ∠D = 180º;

∠В = 180º – ∠А;

∠В = 180º – 60º = 120º;

∠D = 180º – ∠С;

∠D = 180º – 110º = 70º.

Answer: the degree measure of the largest angle ∠В is equal to 120º.