Both Uses

resignation
in
Who's Afraid of Virginia Woolf?
(Auto-generated)

GEORGE (Resignedly): Yes, Martha.
Act 1 *

resignedly = in a manner indicating that he has accepted something undesired as unavoidable
GEORGE: (Resigned and exasperated) All right.†
Act 1

Definitions:

(1) (resignation as in: submitted her resignation)
to quit -- especially a job or position; or a document expressing such an act
(2) (resignation as in: accepted it with resignation)
acceptance of something undesired as unavoidable or the lesser of evils
(3) (meaning too rare to warrant focus)
To resign can also more specifically mean to surrender or give up as in "I was clearly going to lose the chess game, so I resigned;" or "She resigned all pretense."