Daily Editorial

Compliment (noun) - A polite expression of praise or admiration.
Synonyms: Flattering Remark, Tribute, Accolade, Commendation, Bouquet, Encomium.
Example: I just wanted to compliment you for the wonderful speech you gave tonight.

Complement (noun) – A thing that contributes extra features to something else in such a way as to improve or emphasize its quality.
Synonyms: Accompaniment, Companion, Addition, Supplement, Accessory, Adjunct, Finishing Touch, Final Touch.
Example: Her creative talents are an excellent complement to his good business sense.