The calculated distance (air line) between Budapest XXI. kerület and Angyalföld is approximately 8 miles respectively 13 kilometers.
By car or train, the actual journey to Angyalföld is certainly longer, as only the direct route (as the crow flies) between Budapest XXI. kerület and Angyalföld has been calculated here.
Air line (approximately)
13 kilometers
7 nautical miles