MathDB

\angle A = 60^\circ

\angle E = 40^\circ

and

\angle C = 30^\circ

, then

\angle BDC =

[asy] pair A,B,C,D,EE; A = origin; B = (2,0); C = (5,0); EE = (1.5,3); D = (1.75,1.5); draw(A--C--D); draw(B--EE--A); dot(A); dot(B); dot(C); dot(D); dot(EE); label("

A

",A,SW); label("

B

",B,S); label("

C

",C,SE); label("

D

",D,NE); label("

E

",EE,N); [/asy]

\text{(A)}\ 40^\circ \qquad \text{(B)}\ 50^\circ \qquad \text{(C)}\ 60^\circ \qquad \text{(D)}\ 70^\circ \qquad \text{(E)}\ 80^\circ

Problem Statement