AMC 12B 2018 Problem 12

Side \overline{A B} of \triangle A B C has length 10 . The bisector of angle A meets \overline{B C} at D, and C D=3. The set of all possible values of A C is an open interval (m, n). What is m+n ?

Answer Choices
A. 16
B. 17
C. 18
D. 19
E. 20