"You're way out of line."

I got the sentence from a series, do you say it in real life?

How angry should you be to say it?

p.s. It's an American series and so you may say something different in UK?

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@Pumpk-a-boo Yes it is used in real life. As you assumed, it conveys that the speaker is annoyed/angry when he says it. It implies that the person has overstepped their authority with something they have done/said.
The degree of anger can be just annoyance or extreme anger, so it is used when the person saying it is only unhappy with the person's interference or when they are extremely angry with their interference.