Teenage Angst Aimed at Mom

My 13-year-old acts like a surly teenager.  When she turned 13, I expected some teenage angst, the need for acne help like Acneticin, and sleeping in later. What I got was a moody girl who gets annoyed easily and shows too much attitude. Most of that attitude is directed at me.  It irritates me because she would never, ever treat her father like that or the parents of her friends.  I get all the fun teenage angst! 

Why am I the lucky one?  How do I deal with that for the next five years or will it get better?