What is another word for be annoyed by?
Pronunciation: [biː ɐnˈɔ͡ɪd bˈa͡ɪ] (IPA) 
When you find yourself at the point of irritation, there are various synonyms you can use instead of "be annoyed by." You can say you are aggrieved, exasperated, vexed, or displeased with a situation or someone's behavior. Also, you can be frustrated, irritated, angered, or offended. Other possible synonyms for "be annoyed by" include infuriated, provoked, irked, or peeved. If you are frustrated by someone or something, you may feel impatient, anxious, or even resentful. In short, there are many words you can use instead of "be annoyed by," depending on the intensity of your emotions.
