Yeah same here. I get offended at things that aren't even targed at me, or have no relevance to me whatsoever, it is so totally ****** up. I go for a little light hearted comedy, or something, anything, to take my mind off it.
I think it might be because having anger makes you feel powerful, it is much better than feeling helpless and anxious. It'll be great if it's used for a good cause but often than not it is just destructive energy.
How you feel all depends on how you process the insults. I've seen my mum brush things off like she hasn't got a care in the world. Think about it, someone could jsut out of boredom or insecurity say something nasty and it could not even be true, but as a result you feel angry and depressed, is it worth it?