The measure of angle ADE is 62°
In the diagram , since there are two pair of parallel lines , the quadrilateral is a parallelogram.
One of the properties of a quadrilateral is that the opposite angles are equal.
Another is that the adjascent sides of a parallelogram are supplementary.
Therefore angle A = 72
angle DEA = 46 ( alternate angles)
angle ADE will be
= 180 - ( 72+46)
= 180 - 118
= 62°
Therefore for angle ADE is 62°