Green’s Dictionary of Slang

burned (at) adj.

also burned up, burned with, burnt (off)
[burn v. (3b)]

annoyed (with).

[US]B. Schulberg What Makes Sammy Run? (1992) 164: Sammy has heard that he’s been a little burned lately because people are saying he’s losing touch with studio activities.
[US]Pittsburgh Courier (PA) 20 Feb. 20/1: Having failed to give Negroes the proper radio break, we’ve been burned with CBS for years.
[Aus]R. Rivett Behind Bamboo 395/2: Burnt off, fed-up, furious.
[US]M. Spillane Long Wait (1954) 70: He was pretty burned about it.
[US]Mad mag. Spring 49: Jed Brown was pretty burned up about the whole thing.
[US]J. Thompson Getaway in Four Novels (1983) 23: I wasn’t burned over what you was going to do to me.
[US] in T.I. Rubin Sweet Daddy 31: I’m good and burned. Imagine the lousy little creep [etc.].
[US] in S. Harris Hellhole 215: So I was mad. [...] You can imagine how goddamn burned I was.
[US]C. McFadden Serial 16: Harvey had agreed in principle [...] but he was still burned.
[US](con. 1940s–60s) Décharné Straight from the Fridge Dad.
[UK]N. ‘Razor’ Smith Raiders 124: Like most men in prison, Stan was burnt by the news [of his lover’s infidelity].