I was lucky. I had a boss I admired/trusted get angry at me (for arguing) but I "cared" about what I was saying, I was right/telling the truth and just kept to that and eventually he "heard" me and checked and found out I was right, etc. and was very apologetic. Anger is to solve problems like that, misperceptions or ways the angry person has been hurt. If you "feel sorry" for the person angry, that can help. But having a good outcome to an angry situation that you, yourself are involved in helped me -- that and working with a good therapist and perceptions of her being angry at me, etc.