Problem Statement
In the figure \overline{AB} \equal{} \overline{AC}, angle BAD \equal{} 30^{\circ}, and \overline{AE} \equal{} \overline{AD}.
[asy]unitsize(20);
defaultpen(linewidth(.8pt)+fontsize(8pt));
pair A=(3,3),B=(0,0),C=(6,0),D=(2,0),E=(5,1);
draw(A--B--C--cycle);
draw(A--D--E);
label("A",A,N); label("B",B,W); label("C",C,E);
label("D",D,S); label("E",E,NE);[/asy]Then angle CDE equals:
<spanclass=′latex−bold′>(A)</span> 721∘<spanclass=′latex−bold′>(B)</span> 10∘<spanclass=′latex−bold′>(C)</span> 1221∘<spanclass=′latex−bold′>(D)</span> 15∘<spanclass=′latex−bold′>(E)</span> 20∘