An animal with curved horns can be a GOAT, IBEX, GNU, YAK, or IMPALA. Goats are a domesticated species of mammal that is part of the Bovidae family, and their horns are usually curved in a spiral shape. IBEX are wild mountain goats that are found in the Alps, and their horns are also curved in a spiral shape. Gnus are antelopes that are native to Africa, and their horns are curved in a lyre shape. Yaks are large mammals that are native to the Himalayas, and their horns are curved in a semi-circular shape. Impalas are antelopes that are native to Africa, and their horns are curved in a lyre shape.