there are two sides to everything. every person comes with their individualized experiences and we try to compare them. it interests me that two people can go through the same experience and have two wildly different view points on how it went.
if you start resolving conflict by just considering that fact, it's a lot easier to get over holding onto the anger. my experience is that anger seems to stem from a feeling of not being heard; by something unjust; feeling misunderstood. it's good to start with listening and trying to understand what the other person is trying to express to you. there needs to be a willingness to let go of the hurt and move forward in love and happiness.
but it doesn't just apply to conflict. seeing the different viewpoints to any experience can open you up to a lot of learning opportunities. it's nice to step back and reflect. to look at things from as many angles as possible.