football that we're talking about.
It's "complementary" football.
Although complementary and complimentary sound similar, they have different meanings.
Complementary refers to something that completes or goes well with another, bringing mutual benefits or creating a harmonious whole.
When we talk about complementary football, with BYU as the example, it means that the pieces (offense, defense, and ST) go well together and make up a complete football team.
Complimentary, on the other hand, refers to the act of giving praise or free items, such as in "She received complimentary remarks about her work" or "Guests enjoyed a complimentary breakfast."
Carry on.