I repaired a similar part recently. I think I used epoxy. In any case, the owner had complained that the stand kept falling down. I played with it and broke it so felt obliged to fix it.
After my fix, the owner said the stand works better than it did, and no longer falls down. On this one, the break was higher up and there was more 'meat' for a good adhesive joint. Unless you know what to look for, it's pretty much an invisible repair.
You are supposed to deform the part in order to install it, and they probably didn't do enough searching in order to design a part that wouldn't break. It's a compromise between flexibility and strength and probably should have been a better material. I also suspect that the plastic got more brittle with age.