I'm pretty sure that for me, getting angry at them instead of myself isn't going to help. Instead, I work on replacing the anger I feel towards myself with at least more balanced thinking. Being compassionate towards myself is a long-term goal, but definitely a number of steps away from where I'm at.
i can't imagine getting there, but there's no real reason why it shouldn't be possible.
So, I guess my version of an answer to your question is - my anger is the overwhelming feeling of wanting to claw my face off, break my skull open, set myself on fire. I try and turn it into a question: will doing that give me any relief? The answer is no, it will cause me suffering. Then, I can choose to live within the pain I'm feeling, instead of the drive to do something about it by destroying myself.
After that, it's usually less all-consuming, and I can keep working on turning down the intensity, to get it within manageable range.
I do this once, twice a day - more if I'm very stressed. But it used to be every few hours. It is slowly getting better.