The word irate is an adjective, a word that describes a noun; for example an irate driver, an irate customer, etc. There is no verb form for the adjective irate but there is an adverb form that modifies a verb, irately; for example: He irately demanded to see the manager.

It appears you are more interested in verbs. Here are some very basic uses of the word irate.

I am irate

You are irate

He she or it is irate

We are irate

You are irate

They are irate

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No, 'irate' is an adjective, a word to describe a noun: an irate driver.

Irateness is the noun form.