/ ˌkɒmplɪˈmentri; NAmE ˌkɑːm-/ adjective
1.
given free :
complimentary tickets for the show
2.
complimentary (about sth) expressing admiration, praise, etc. :
a complimentary remark
She was extremely complimentary about his work.
OPP uncomplimentary ➡ note at compliment