The correct word is compliment, but complement finds itself plunked into such contexts from time to time, making this confusion between the two words a matter worth our consideration.

Is it complimentary or complementary?

Complimentary with an i is used when something is free or when you give someone a compliment. Complement with an e means something that completes something else as when two things go well together.

What is the synonym of complemented?

In this page you can discover 38 synonyms, antonyms, idiomatic expressions, and related words for complement, like: supplement, obverse, part, accompaniment, compliment, completion, enhance, enrichment, whole, agree and balance.