Final answer:
The external jugular artery does not exist; the question likely refers to the external jugular vein or the external carotid artery. The external carotid artery, which supplies blood to the face and neck, arises from the common carotid artery. The external jugular vein, which drains blood from superficial head areas, empties into the subclavian vein.
Step-by-step explanation:
The external jugular artery does not actually exist; you may be referring to the external jugular vein. In contrast, the blood vessel that does exist and correlates with your question is the external carotid artery. This artery arises from the common carotid artery, which divides into internal and external branches. The right common carotid artery comes from the brachiocephalic artery, and the left common carotid artery comes from the aortic arch. The external carotid artery supplies blood to various structures of the face, neck, esophagus, and larynx. Its branches include lingual, facial, occipital, maxillary, and superficial temporal arteries. The internal carotid artery supplies blood to the brain after traveling through the carotid canal and foramen. Vein-wise, the blood from the more superficial parts of the head flows into the external jugular vein, which drains into the subclavian vein.