First, don't try to when he's angry, wait until people calm down and are thinking once more. When we're angry we're not sensible or rational and in a much more base animal state of mind. The walk-away-until-you-calm-down thing works best I find. Often anger only lasts when someone bears witness to it. Remove the audience and unless something's really wrong mentally, people tend to calm down rapidly. Once people are calm once more you can discuss with them what triggered the anger outburst. Showing you're genuinely interested in helping him work through the anger will help him stay calm more and get angry less.
Meeting anger with anger is like a thing Dr. King said about violence answered in kind just multiples violence. Really hate misquoting people I admire so here's the full quote

"Returning hate for hate multiplies hate, adding deeper darkness to a night already devoid of stars. Darkness cannot drive out darkness; only light can do that. Hate cannot drive out hate; only love can do that. Hate multiplies hate, violence multiplies violence, and toughness multiplies toughness in a descending spiral of destruction."
"I'd rather be hated for who I am, than loved for who I pretended to be." - Me.