If in your buddhist practice, you have reached the level where you can sense the nature of anger, then when someone throw his or her anger toward you, you will feel like he or she is throwing music into you.
The anger is just another hard rock music coming to your ears.
But, if we still can't know the nature of anger, then in buddhist practice, you should rely on antidote. Shantideva has a very unique antidote to subdue the anger.
We are not trying to become a person free from anger, because anger is not a poison. We shouldn't see anger as something evil and we become ill feeling about it.
The nature of anger is actually wisdom - because the nature of anger is rootless and baseless.
I like how Trungpa Rinpoche put his definition about compassion. He said:
"When we talk about compassion, we talk in terms of being kind. But compassion is not so much being kind; it is being creative to wake a person up."
Sometimes, kind approach simply doesn't work to wake somebody. You need stronger one, which is anger.
So, if you ask how buddhist approach anger, then the answer varies.
You need to ask first, does the person know the nature of anger or not?
If that person knows the nature, that person can use anger as skillful means.
But, if that person doesn't know the nature of anger, that person must subdue the anger with antidote, because this anger can throw him to the hell for aeons.
I am not here nor there.
I am not right nor wrong.
I do not exist neither non-exist.
I am not I nor non-I.
I am not in samsara nor nirvana.
To All Buddhas, I bow down for the teaching of emptiness. Thank You!