Peeve (verb)

1. To irritate or annoy (someone).
2. To cause irritation or vexation in (someone).

Origin:

Late 16th century (as a noun in the sense "petty annoyance"): from middle english peeve "irritation", from old french pécher, from péché "sin".

Examples:

1. The constant chatter of his coworkers peeved him.
2. The traffic jam peeved her to the point of anger.
3. His habit of talking loudly peeved the other passengers on the train.
4. The broken elevator peeved the residents of the building.
5. The loud music peeved the neighbors and they called the police.