There is one external carotid artery on the right side of the neck and one on the left side of the neck. The internal carotid artery is a major branch of the common carotid artery supplying several parts of the head with blood the most important one being the brainThere. Branches Of External Carotid Artery Carotid Artery Medical Knowledge Medical School Studying Supplies the ear and the scalp around the ear. . Ad Offering a Full Range of the Latest Treatments for Carotid Artery Sudden Weakness. Name the 8 branches of the External Carotid Artery Some anatomists like to freak out poor medical students Superior Thyroid. Eight branches anastamose or join and. On the other hand the external carotid artery supplies blood to the face. It descends from the. The superior thyroid artery is the first branch of the external carotid artery. All arteries including the carotid arteries have three layers. It arises from t