Q. A 67-year-old woman comes to the clinic because of voice hoarseness that began 3 weeks ago. Her medical history is significant for hypertension, diabetes, and ischemic cardiomyopathy. Vital signs are normal. Office laryngoscopy shows a fixed right vocal cord. Magnetic resonance imaging (MRI) shows proximal dilatation of a vascular structure passing in the root of the neck. Which of the following is considered the embryological origin of the afflicted blood vessels?