I actually can't figure this one out. I mean, it's obvious from looking at it that they're equal, and probably you are going to use the Side-Angle-Side congruence property (er, postulate), but I can't figure out how to get that angle. There's probably a nice easy property about triangles inscribed in circles, but I can't remember it for the life of me.
Edit: Oh, got it. (looked up some properties)
In a circle, or congruent circles, congruent chords have congruent arcs. (and converse)
In a circle, or in congruent circles, two arcs are congruent if and only if the corresponding chords are congruent.
chord BC ≅ chord DC, so
arc BC ≅ arc DC, so
∠BAC ≅ ∠DAC