Should I tell my friend's parents about her relationship as revenge?
I'm certain your friend would be miserable if you told on her. Why do you want to do that?
I want to see her miserable because she got me unhappy on purpose
Even though your friend is in the wrong for intentionally trying to make you unhappy, it isn't right to seek revenge on her by telling her parents about her relationship. Two wrongs do not make a right.
It wouldn't bother me as much if I never got angry. I can't talk to her.
If you are upset at your friend's behavior, you should talk to her and try to resolve the issues that have come up between you two and make a sincere effort to be on good terms again.