<prompt> Maxillary aery isBranch of facial aeryBranch of internal carotid aeryBranch of common carotidTerminal branch of external carotid  <response>: Branches of external carotid aery Anterior Superior thyroid Lingual Facial Posterior Occipital Posterior auricular Medial Ascending pharyngeal Terminal Maxillary Superficial temporal Ref BDC volume 3 ;sixth edition pg 101 