There are Angora rabbits and Angora goats.
A breed of goat called the Angora goat is what gives us angora wool.
Angora is a staple fiber because it is a natural fiber. All natural fibers, with the exception of silk, are in the staple form. Since angora comes from angora rabbits or angora goats, the fibers are sheared or pulled, and are not continuous.
An angora can be a breed of rabbit (from which you get angora fibre) or a type of goat (from which you get mohair).
Angora goats produce mohair
Angora goats
Angora I believe is Wool. -- further -- Angora is a fabric made from the hair of either the Angora goat or the Angora rabbit.
I think you probably mean "Angora". Angora is a breed of goat which originated in what is now Turkey. The fleece from an Angora goat is called mohair. (There is also an Angora rabbit from whom Angora Fibers or Wool can be harvested.)
An Angora goat is a fibre goat. The type of fleece it gives you is called mohair. Angora fleece hangs down and is curly. Angora goats are rather small and aren't really good mothers.
Mohair
Angora
Everything but angora is a type of dog.
Mohair, a fibre, comes from Angora goats.