Not that it matters a whole lot, but how are you supposed to tell if it’s a “transgendered” person as opposed to just someone cross dressing?
Also, if they are actually transgendered, why does the policy allow them to enter either room? Shouldn’t they have to enter the room that matches what they have...uh...transgendered to?
And who is supposed to ask them anyway? The attendant of the dressing rooms is in a no win situation.
I suspect that if you even ask, you will be fired.
And if you let a cross dressing man in the ladies area, you will also be fired.
Ask to see their neck. If there's an Adam's apple, there's a Y-chromosome to match.