math
posted by halp .
In the below figure, EB is tangent to the circle with center $C$ at the point B. If EC is equal to the diameter of the circle, find the measure of angle BAD in degrees.
and here is the ugly LaTeX
[asy]
pair C = (0,0), B = dir(110), D = dir(170), E2 = 2 * D, A = dir (305);
draw(unitcircle);
draw(CE2BC^^DAB);
dot(A^^B^^C^^D^^E2);
label("$A$",A,SE);
label("$B$",B,NW);
label("$C$",C,S);
label("$D$",D,SW);
label("$E$",E2,W);
[/asy]
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