Technically, if something gets tangled with itself, but something becomes entangled in something else. To give you an example:
They freed the whale which had become entangled in the fishing net.
The fisherman's line wasn't put away properly and got tangled up.
In the first example, the whale becomes entangled in the net. In the second example, the line becomes tangled with itself. I hope this helps, let me know if you have any more questions!