Given regular pentagon ABCDE, a circle can be drawn that is tangent to DC at D and to AB at A. The number of degrees in minor arc AD is<spanclass=′latex−bold′>(A)</span>72<spanclass=′latex−bold′>(B)</span>108<spanclass=′latex−bold′>(C)</span>120<spanclass=′latex−bold′>(D)</span>135<spanclass=′latex−bold′>(E)</span>144[asy]
size(100); defaultpen(linewidth(0.7));
draw(rotate(18)*polygon(5));
real x=0.6180339887;
draw(Circle((-x,0), 1));
int i;
for(i=0; i<5; i=i+1) {
dot(origin+1*dir(36+72*i));
}
label("B", origin+1*dir(36+72*0), dir(origin--origin+1*dir(36+72*0)));
label("A", origin+1*dir(36+72*1), dir(origin--origin+1*dir(36+72)));
label("E", origin+1*dir(36+72*2), dir(origin--origin+1*dir(36+144)));
label("D", origin+1*dir(36+72*3), dir(origin--origin+1*dir(36+72*3)));
label("C", origin+1*dir(36+72*4), dir(origin--origin+1*dir(36+72*4)));[/asy]