Engaged men can be referred to using various synonyms depending on the context. One of the most common words used to refer to engaged men is "fiance," which denotes a man who is engaged to be married. Another popular synonym of engaged men is "betrothed," which essentially means the same thing as fiance. Some people may also use the term "intended" to describe engaged men. In a business or professional setting, the word "committed" could be used to describe an engaged man who is committed to a project or a job. In summary, there are various synonyms that can be used to refer to engaged men depending on the context.