There are many synonyms for the phrase "become incensed". Some of these include become furious, become enraged, become outraged, become angry, become irate, become provoked, become indignant, become aggravated, and become agitated. These synonyms all indicate a sense of being extremely upset and angry, often in response to something that is perceived as unfair or offensive. It is important to note that while these words may be used interchangeably, they may also have slightly different connotations depending on the context in which they are used. Therefore, it is important to choose the most appropriate word for the situation at hand.