You handled it well. But....no more asking the question of reconciling...he's not ready to hear it. Treat him as a friend, no expectations and go from there. He's looking for any excuse to be angry and justify why he's behaving the way he is...don't buy into it.
Focus on you and your life for now.
Sit quietly, the answers will reveal themselves when you least expect them to. The past is gone, the present is a gift and you need to focus on today, allow the future to reveal itself when it is ready.