ABC is a triangle in which $$\angle CAB \colon \angle ABC \colon \angle BCA = 11 \colon 4 \colon 3$$. The line through point C making an angle $$\frac{\angle BCA}{3}$$ with BC meets the line through point B which bisects $$\angle ABC$$, at D. The bisector of $$\angle CAB$$ and the line through D making an angle $$\frac{\angle BDC}{3}$$ with CD, meet at E. Find and write the measure of $$\angle AED$$.