<prompt> Not a branch of cervical part of Facial artery:Ascending palatine arteryTonsillar arterySubmental arteryMuscular artery  <response>: The cervical part of the facial artery runs upwards on the superior constrictor of pharynx deep to the posterior belly of the digastric, with the stylohyoid and to the ramus of the mandible.The cervical part of the facial artery gives off the ascending palatine, tonsillar, submental, and glandular branches for the submandibular salivary gland and lymph nodes.Reference: BD Chaurasia Volume 3, ed 6 page no 102 