When expressing frustration or anger, there are many synonyms for the phrase "becoming irate". Some examples are: getting angry, becoming livid, becoming incensed, getting worked up, becoming infuriated, getting enraged, becoming agitated, becoming heated, becoming irritated, boiling over, and losing one's cool. Each of these phrases can be used to describe a gradual or sudden increase in one's level of frustration or irritation, ranging from mild annoyance to full blown anger. When choosing which synonym to use, it's important to consider the level of intensity you want to convey and the tone of the conversation or message you are communicating.