Some of us may remember this episode of Sir David Attenborough's Planet Earth: https://www.bbc.co.uk/programmes/p0036vfk

The dogs look like a trained commando squad.

This gives you an idea why everyone on the savannah is scared of a Wild Dog pack.

All of which are pack hunters and smart ones to boot. It's just that your first paragraph gives the impression to me that "wild dogs" are the same creatures as domesticated ones, just wild, when that is more true of the wolf than it is of the African wild dog. For instance, the African wild dog and the domestic dog can't interbreed.

In any case, I’m sure that wolf packs behave in quite a similar manner.

There are of course dogs in Africa, and also the African wild dog: https://en.wikipedia.org/wiki/African_wild_dog

Unless you were on safari, what you saw was most likely an African breed of Canis familiaris.

There is a common dog that looks a lot like the Rhodesian Ridgeback (although a lot scruffier). I really liked them.