1. engage: interact, deal or communicate, meet disengage: to release or detach yourself
engage in discussion/conversation, engage with a client, disengage from a relationship
To engage with something means to be involved with or interact with it: "Parents who engage in their children's education set them up for success in the future." "We are asking for citizens to engage with the Police regarding any suspicious activity." "We have invited an artist to engage with the community and share their stories in a mural." (Note: You can't 'engage from'). To disengage with something means to fail to interact with or be involved with something or to detach yourself: "One of the problems with this product is that we found users disengaged from it very quickly." "A number of users of the program have become disengaged." "I find it really difficult to disengage from work when I receive emails after hours." You will see and hear these expressions used in social and professional contexts.