I would pick a time where he is calm and in a listening situation.

I would try to just let him know the anger is a concern of yours... Would he be willing to go to therapy or even look at some things on line about how to deal with anger in a more effective way..

Im sure he will possibly get angry just over you having a discussion about it , But at least then you have opened a door for a conversation when he might bring it up a few days later.

Telling someone that deals with anger is often initially responding with anger, be prepared.

I dont think your relationship is doomed .. But it needs some healthy boundaries in place... But that goes for every relationship .

I hope you two can talk this through and he can improve on himself.