The girl was peeved when her girlfriend borrowed her purse and broke the strap.
The man was peeved when his neighbor blocked off the street without permission.
For example, if he does legitimately have a lot of business trips, he may be more than a little peeved if he learns you called all of his friends to confirm.
The employee was peeved when his boss wouldn't let him leave work early.
Fred O'Connor looked peeved that Dean delayed the interrogation by taking time to discuss biking.
I suppose I should have tried to console her, but I was peeved.
By the way, she's a bit peeved about the picture.
Dean offered, in spite of being a bit peeved at the man's abruptness.