"to fish with a hook," mid-15c., from Old English angel (n.) "angle, hook, fishhook," related to anga "hook," from PIE *ang-/*ank- "to bend" (see angle (n.)). Cf. Old English angul, Old Norse öngull, Old High German angul, German Angel "fishhook." Figurative sense is recorded from 1580s.
Related: Angled; angling.