Exasperate means more than 'annoy'; it suggests deep frustration, often with someone's behavior. The constant lateness of his team members exasperated the coach.
Pro Tip 2/3
Emotional Reaction
Using 'exasperate' can imply that you're on the verge of losing your patience. I was so exasperated that I nearly walked out of the meeting.
Pro Tip 3/3
Specific Triggers
The word 'exasperate' is often used for repeated actions that frustrate over time. His excuses started to exasperate everyone around him.