There are many different synonyms that can be used in place of the phrase "wangle out of." Some of the most common options include finagle, coax, cajole, sweet-talk, wheedle, charm, persuade, and manipulate. Each of these words carries its own nuances and connotations, and they can be used to describe a wide range of different situations in which someone is trying to get out of a difficult or challenging situation. Whether you're trying to find a way to convince someone to do something for you, or you're simply trying to avoid an awkward conversation or confrontation, there are many different ways to wangle out of a tricky situation with the right choice of words.