AMC8 1996 Problem 24

The measure of angle A B C is 50^{\circ}, \overline{A D} bisects angle B A C, and \overline{D C} bisects angle B C A. The measure of angle A D C is

Answer Choices
A. 90^{\circ}
B. 100^{\circ}
C. 115^{\circ}
D. 122.5^{\circ}
E. 125^{\circ}