That you need colored pencils to solve this one. Every sketch I make ends up with too many lines, angles, numbers, etc, plus not to scale.
After drawing line DH I can see that ADH is isosceles 20 80 80. So lines AD, AH, AB, and BH are all equal.
Also, angle DHF is 40, angle HFD is 40 so HFD is isosceles 40 40 100 and lines FD and HD are equal.
But I still quite see how to get angle DEA.