Triangles and Parallel Lines

Consider a triangle ABC where angle A measures $50^{ ext{o}}$, and angle B measures $70^{ ext{o}}$. Angle C is the remaining angle of the triangle. After finding the measure of angle C, a line segment DE is drawn parallel to side BC of the triangle, intersecting side AB at point D and side AC at point E. What is the measure of angle ADE?

Recall that when a transversal intersects two parallel lines, the corresponding angles are equal.