Final answer:
The internal laryngeal nerve runs with the superior laryngeal artery, which is a branch of the superior thyroid artery from the external carotid artery.
Step-by-step explanation:
The internal laryngeal nerve is closely associated with the superior laryngeal artery, which is a branch of the superior thyroid artery that itself arises from the external carotid artery. The external carotid artery supplies blood to numerous structures within the face, lower jaw, neck, esophagus, and larynx. The superior laryngeal nerve innervates muscles inside the larynx and provides sensation to the laryngeal mucosa above the vocal cords. Therefore, the answer to the question 'Internal laryngeal nn running with what artery?' is (a) Superior laryngeal.