What is the measure of angle Z?

Step-by-step explanation:

The given quadrilateral is an isosceles trapezoid. This is because the two bases(lower and upper) are equal. The lower base angles are congruent. The upper base angles are also congruent. Therefore, each lower base angle is supplementary to the upper base angle on the same side. This means that

Angle W and angle Z are Supplementary. The sum of supplementary angles is 180°. It means that

112 + angle Z = 180

Angle Z = 180 - 112 = 68 degrees