An angry man raises his voice, lowers his pitch, and sounds mean, and rude. You feel hurt at the anger. The normal way to respond to hurt is to give your anger back. Once you do this, you will lose your peace.
There is another way out. The moment someone throws their anger, and insult at you, don't react. Don't reply. Don't prove you are right. And say you are sorry for the mistake or the hurt. Drop your ego. Forget who is right or wrong. To the hard insult of anger give a soft reply of love. Your mind will now find peace. And the angry person will calm down.
A soft answer softens anger.