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The carotid arteries are major blood vessels in the neck that supply blood to the brain, neck, and face. There are two carotid arteries, one on the right and one on the left. In the neck, each carotid artery branches into two divisions: The internal carotid artery supplies blood to the brain.
What is the major artery of the neck? The left and right common carotid arteries branch off the arch of the aorta. They travel up through the neck and at the level of C4 divide into external and internal carotid a â¦ rteries. The internal travels more deeply and ultimately the blood it carries supplies areas of the brain, the external is more superficial and is largely responsible for supplying areas of the neck and face.