Yep, as Pars stated, mine have done the same thing a couple of times now. I need to get some epoxy but in the past I've used superglue and it will hold for several months. Make shure to only apply glue to the stationary part of the plastic moulding, that way they will still be able to rotate to flat for storage. I used a vice-grips pliers to clamp them while drying, clamping inside-outside to hold the pieces together.
But with Monkey's latest update, I may need to contact AT and see if they can help. I'm the second owner so I wasn't hopeful, but now, maybe.