angel sharkn. Any of several raylike sharks of the genus Squatina, having a flattened body and winglike pectoral and pelvic fins.American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.angel shark or angelfishn (Animals) any of several sharks constituting the family Squatinidae, such as Squatina squatina, that have very large flattened pectoral fins and occur in the Atlantic and Pacific Oceans. Also called: monkfish Collins English Dictionary ? Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014