Swell-headed
I believe the answer is:
cocky
(Other definitions for cocky that I've seen before include "Full of oneself" , "Brash" , "Boldly self-confident" , "Swaggering" , "Impudently self-assured" .)
I believe the answer is:
cocky
(Other definitions for cocky that I've seen before include "Full of oneself" , "Brash" , "Boldly self-confident" , "Swaggering" , "Impudently self-assured" .)