2014 AMC 8 Problems/Problem 9

[asy] size(300); defaultpen(linewidth(0.8)); pair A=(-1,0),C=(1,0),B=dir(40),D=origin; draw(A--B--C--A); draw(D--B); dot("", A, SW); dot("", B, NE); dot("", C, SE); dot("", D, S); label("",C,2*dir(180-35));[/asy]