The Collaborative International Dictionary of English v.0.48:

entangled \entangled\ adj.
   1. in a confused mass. Contrasted with untangled. [Narrower
      terms: afoul(postnominal), foul, fouled; knotted,
      snarled, snarly; matted; rootbound; intertwined]

   Syn: tangled.
        [WordNet 1.5]

   2. deeply involved especially in something problematic; as,
      entangled in the conflict.

   Syn: embroiled.
        [WordNet 1.5]

   3. constrained by or as if by a convoluted rope or net;
      ensnared.
      [WordNet 1.5]

Moby Thesaurus II by Grady Ward, 1.0:

26 Moby Thesaurus words for "intertwined":
   braided, enlaced, entwined, fretted, handwoven, interknit,
   interlaced, interthreaded, intertied, intertissued, interwoven,
   knit, laced, loomed, plaited, platted, pleached, raddled, textile,
   twined, web-footed, webbed, webby, weblike, woven, wreathed