Final answer:
The superior olivary complex receives blood supply from the basilar artery, which is formed from the merging of the two vertebral arteries and supplies several brain areas.
Step-by-step explanation:
The superior olivary complex is supplied with blood by the basilar artery. The basilar artery is formed from the fusion of the two vertebral arteries. It sends branches to various parts of the brain, including the cerebellum, brain stem, and the posterior cerebral arteries, making it the main blood supply to the brain stem where the superior olivary complex is located. Blood vessels that enter the cranium to supply the brain with fresh, oxygenated blood include the internal carotid artery and the vertebral arteries, which form the basilar artery.