The arteries that provide the major portion of blood supply to the head and neck are the left and right common carotid, each of which divides into two branches: the external carotid, supplying the neck, the face, and the exterior of the head; and the internal carotid artery, supplying the anterior brain, eye, orbit, and sinuses. You can feel your pulse by placing your fingertips along the common carotid artery in the neck.