If you get angry while talking, start reading any Darood/Salavat. Your anger will go away in seconds.

If someone else is angry while talking to you then read any Darood/Salavat few times and do a dam(blow) on him while he is angry. Meaning blow in his direction. 

Keep on doing it and he will calm down too within seconds. You may do this secretly if you don’t them to know what you are doing.