Like other formations in the area, the name 'Angustus' derives from a name given by Eugene Antoniadi in 1930 to an albedo feature that corresponds with the area. Angustus Labyrinthus was discovered by the Mariner 9 probe, which photographed a small area that looked like the ruins of an ancient city. Mariner 9 team members named it the "Inca City". (wikipedia entry)
A labyrinthus is a complex of intersecting valleys or ridges. On Mars they are named after the nearest named albedo feature on the Schiaparelli or Antoniadi maps.