Make someone rude become self-conscious
Saying something like, “Hey, I think you have something stuck in your teeth,” will stop someone who is screaming at you right away. Instead of getting upset with you, this will cause them to stop suddenly and feel extremely uncomfortable and self-conscious. Additionally, it’s likely to suggest that they’re making an excuse to go locate a mirror.
This approach has to be used as a last alternative; mature, calm communication is always preferred for circumstances such as these.