I agree with the others that CA works much better for this than epoxy does. Another thing I have to add is advice to avoid a common beginners mistake. (one I admit I used to do). It is tempting to glue the hinge into one surface so that it is easier to insert in to the other. The problem with this is that some CA will wick into the exposed hinge material and seal it, making it not adhere to the other surface well. I never had a failure from this, but admit I was pretty lucky.

What I do is put a straight pin through the hinge in the middle then insert it into one surface. Then I position both surfaces, CA them, then pull out the pins.