I think it's important to understand that you are not the character who is going through the emotion. A technique I used in my meditations was to visualize myself spinning away. First, I would see myself in my mind's eye, so I'd be looking at my face. Then I'd visualize myself spinning away from the angry energy, or away from the upset. That helped me create the feeling of being able to detach myself from it, observe that it wasn't me, and recognize that it was just a reaction I was going through.
All emotion is reaction to opinion.
I talk about that a lot in my books. In order to feel any emotion, positive or negative, you have to first have an opinion. Usually the way to go past it all is to change the opinion. In other words, life isn't necessarily going to go the way you want it. It's not necessarily going to be in this way, on that day, at this time, in that format, and so on.