To obtain through manipulative or deceitful methods.
"if a country such as China decided to wangle various concessions out of the US government" http//www.theconservativevoice.com/article/21941.html
To falsify, as records.
To achieve through contrivance or cajolery.
"manages to wangle his way into the investigation team" http//www.star-ecentral.com/news/story.asp?file=/2007/1/28/movies/16676327&sec=movies
The act of one who wangles.