If you can recognize that the angry person is behaving in the only way they know how, given their current level of awareness, then you can begin to feel compassion toward them. The angry person suffers tremendously. They were probably the victim of painful events in the past which gave rise to their anger. They have never learned to release the anger in a healthy way. Although nothing gives anyone the right to attack you, by realising that an angry outburst is only information about that person’s current level of awareness and their past conditioning, you can learn to not take it personally.
As humans we have a tendency to project our perceptions of ourself (both positive and negative) onto others. The personality traits which we identify in others, whether glorious or horrendous, indicate that we have the potential for those traits within us. Realising this enables us to take ownership of our whole personality, it stops us attracting people that we don’t want in our life, as well as promotes healing and growth.