You can't start stuff over that's already happened, but maybe that's not a bad thing. If you could turn things around then you'd have been through a lot with the other person rather than it being a blank slate and shallow.
I've told lies on top of lies to the point where we've both established that I am a liar, unworthy of his trust as of right now. I, in turn, refuse to admittedly trust him. I use that to hurt him, too; the fact that his distrust gives me reason not to trust him, and therefore, to remain dishonest in order to protect myself.
When a person distrusts you because you've shown you can't be trusted, distrust is not the same as treating a person as an enemy. You can treat a person you don't trust with decency, but you won't expect things of them, and might not choose to communicate/divulge certain things or share certain emotions. Its a position of less information and no expectations, not a position where you are a target or may be treated badly.
For a really basic material example, if your friend knows where some treasure is, if he trusted you he would tell you and you'd go looking for it together. If he doesn't trust you, he might not tell you, but she might ask you to do things which help him find it without explaining why. When he finds it, he could then still give you your share, and explain afterwards.
I don't know if that actually explains anything at all, or just sounds like a stupid story about some treasure

Sometimes I wonder why he even wants to be friends with me. It's such a good question that it makes me suspicious of his motives.
Examine your own feelings about this, you might find it helpful.
It reminds me of my own reactions to "emotional prejudice". I've spent a lot of time thinking "if people knew what I really think and feel, they wouldn't like me". when actually, it might be the case many of them might just roll their eyes and go ahh, one of those and make some kind of joke about lost causes. they don't need to dislike me as long as they know where they stand and I'm not trying to screw with them and send them round in circles or telling them I feel they're all like sisters to me or something when actually the truth is closer to "yeah I guess I like them - they're OK. but I'm really quite detached."
So its a lot more like, OK, so I know you're a liar... I won't ask you to feed my cat because I won't know if you really did unless I use a tape measure to see if its got skinnier

would suggest that the person tries swallowing their pride. Being unwilling to admit to embarrassment - especially to the person you feel it around the most - could be a terrible thing. I would advise the poster to talk to their friend about how silly and ashamed they feel, and how much anger has been a problem for them. This could take a huge load off their shoulders, re-establish some trust between the two friends and help the relationship move forward. Sounds like this person uses their anger as a weapon against their friend. Maybe if they exposed it as a vulnerability, their friend won't be so put-off by it, and may be able to help.
That reminds me of what I was thinking myself too about different ways of interacting with people and relating to them, and how practical vulnerability doesn't have to be the enemy, but the same could be applied to emotional vulnerability.
You definitely need to work on being more honest, and trying to build trust, because trust is fundamental to healthy friendships and relationships.
But if you don't understand why on a personal level, sometime you'll probably get an "ahhah" moment. I don't think its something words can convey.