Hi Emar,
Yes, I believe 'complementary' is the word you're looking for (Careful with the spelling, 'compliment' is something slightly different!)
Although, a more natural way I’ve heard more commonly used when referring to people is in its verb form ‘to complement something/someone’ e.g.
‘I’m very emotional and my partner is more logical. We complement each other quite well’
I'd personally use 'complementary' more when talking about things, tangible or intangible e.g.
'Our personalities are complementary, we really suit each other'
It’s just a matter of style though!
Hope this sufficiently answers your question. Happy learning :)