Compliment vs Complement

Compliment and complementCompliment is to say something nice. Complement is to add to, enhance, improve, complete, or bring close to perfection. 

com·ple·ment

noun

ˈkämpləmənt/

1. 1.

   a thing that completes or brings to perfection.

   "the libretto proved a perfect complement to the music"

   synonyms:

   accompaniment, companion, addition, supplement, accessory,trimming More

2. 2.

   a number or quantity of something required to make a group complete.

   "at the moment we have a full complement of staff"

   synonyms:

   amount, total, contingent, capacity, allowance, quota More

verb

-ˌment,-mənt/

1. 1.

   add to (something) in a way that enhances or improves it; make perfect.

   "a classic blazer complements a look that's stylish or casual"

   synonyms:

   accompany, go with, round off, set off, suit, harmonize with