Here is the basic history…
(http://www.answers.com/topic/northwest-angle)
Read here for the story of its attempted secession in 1998…
(http://news.minnesota.publicradio.org/features/199808/17_radila_angle-m/)
And this is just interesting– about border irregularities all over the country: http://en.wikipedia.org/wiki/Border_irregularities_of_the_United_States
This explains how Missouri got its bootheel and how Kaskaskia, Illinois ended up on OUR side of the Mississippi, among other things.