Dangle means to hang about in an uncertain manner; to hang something in a manner that allows it to swing freely: “Reema tried to dangle her feet in the water as she sat on the edge of the swimming pool.”
Tangle is a confused or bewildering situation: “He was about to tangle himself up in legal problems.”
2. A scrambled mess of something: “The string was all in a tangle and could not be undone.”
Oh, what a tangle of confusion we create when we try to do too many things at once; like, trying to dangle our feet in the water of our swimming pool while playing with our dog whose leash was in a tangle because he was chasing the bone which we tried to dangle in front of him.