engagement vs betrothal

engagement and betrothal both are nouns.

Word	Noun	Adjective	Verb	Adverb
engagement	Yes	No	No	No
betrothal	Yes	No	No	No

As nouns, engagement and betrothal are synonyms defined as:

Other synonyms of engagement include troth.

engagement (noun)	betrothal (noun)
the act of sharing in the activities of a group	the act of becoming betrothed or engaged
a hostile meeting of opposing military forces in the course of a war	a mutual promise to marry
the act of giving someone a job
employment for performers or performing groups that lasts for a limited period of time
a mutual promise to marry
contact by fitting together
a meeting arranged in advance