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If you've been linked to this, you probably made a language mistake and whoever sent this to you cared enough to point it out. The best thing to do is read the details and see where you went wrong.
A "complement" is a "companion; accessory"; as a verb, it means "accompany; go together with".
A "compliment", however, is a "remark of praise or flattery"; as a verb, it means to "praise; flatter".
Similarly, "complementary" means "complementing well" (or in geometry, "adding up to a right angle"), and "complimentary" means "flattering" or "included free of charge".
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