plight vs engage

plight is a noun but engage is not a noun.

Word	Noun	Adjective	Verb	Adverb
plight	Yes	No	Yes	No
engage	No	No	Yes	No

As verbs, plight and engage are synonyms defined as:

Other synonyms of plight include affiance, betroth.

plight (noun)	engage (noun)
a solemn pledge of fidelity
a situation from which extrication is difficult especially an unpleasant or trying one

plight (verb)	engage (verb)
promise solemnly and formally	get caught
give to in marriage	consume all of one's attention or time
	give to in marriage
	keep engaged
	engage for service under a term of contract
	hire for work or assistance
	ask to represent; of legal counsel
	engage or hire for work
	carry out or participate in an activity; be involved in
	carry on (wars, battles, or campaigns)