A mirror acts as though it was a doorway into another world whose inside reverses front-to-back through the plane of the doorway everything that is outside the doorway. That will include any images in any mirrors on the outside of the doorway. Use that on each mirror to iteratively create a set of images of anything between the mirrors, repeated in wedges of that angle. Then any straight line from your eye that intersects the mirror that leads to an image created by that mirror is an image you will see. That should let you figure out how many images you see. I imagine it should depend on where your eye is.