Can someone help me with this proof? Can anyone come up with a proof that is shorter than 17 steps please?

I don't understand proofs that well so all I have to start is the given and <BAC and <BAD are right due to the definition of perpendicular...but where do I go from there...our teacher said we should have short proofs and this one should be under 17 steps preferably. Can anyone help?

http://i34.tinypic.com/syy3bq.png

AE perpendicular to AF, hence
angle EAF = 90 degrees

angle CAD = 180 degrees, hence
angle 3 + angle 4 = 180 - angle EAF
= 90 degrees
so angles 3 and 4 are complementary