Crossword Genius

Angry boast of a self-important type (5)

Ross

I believe the answer is:

irate

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'angry' is the definition.
(irate can mean angry or annoyed)

I cannot understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for irate that I've seen before include "Cross, irritated" , "Annoyed, irritated" , "A tier (anag)" , "ranting" , "Livid" .)

I've seen this clue in the Sydney Morning Herald.
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