You can't really win by being the loudest or batting the same old tired accusations back and forth. Don't get personal. Stick to the issues and focus on the problem, not the people. Name-calling, sarcasm and insults only make matters worse. Cool down before there's a meltdown.
Anger leads to violence.
Get control of your anger before you even try to address the problem. Look at the problem from another point of view. Think about the other person's position. Try to imagine how he or she is feeling. You might get some idea why the other person is not responding the way you'd like.