IPA: /ˈhæŋˌneɪl/
KK: /hæŋneɪl/
A small piece of dead skin that is loose at the side or base of a fingernail.
She accidentally pulled off a hangnail while doing her nails.
Hangnail is formed from "hang" (from Old English "hangian", meaning to suspend or be suspended) and "nail" (from Old English "nægel", meaning a small pointed metal pin or claw). The word describes a small piece of skin that hangs or is suspended near the nail.
Think of a small piece of skin that is 'hanging' ('hang') near your 'nail' — that's what a hangnail is.