I'm not sure how you are defining "between". Are all these angles in standard position, or are they angles between different pairs of rays? Are they taken as amounts of rotation, or as differences between directions?
My first inclination (particularly because you specify a direction) is that C would be between A and B if the number C is between the numbers A and B (as it is not in your example).
Can you show us the context of your question, and tell us why the obvious answer should not be considered right? How would you use the answer?