There are multiple definitions - click on the translation that matches your context.

angażować, rezerwować, zobowiązywać się

czasownik

full

engage

verb

Definitions of engage

English

if you engage somebody in conversation then you start speaking with him or her

He engaged Mr. Skinner to survey the property.

English

if you are engaged in/on/upon something then you are doing that thing or are involved in a particular activity

The defendant needs to prove that there exist persons who were engaged in similar conduct and were not prosecuted.

English

if you engage somebody to do something then you employ or get someone to do a particular job or task

The men engaged him in conversation before punching him.