This question deserves as a FAQ now. Indeed, in the coming 3DNA Nature Protocols paper (anytime soon!), there is an example which involves quantifying the bending angle between two relatively straight helix regions in a DNA-RNA junction structure.
To answer your question now, yes, you need to analyze the two helical regions separately to get the helical axis vector for each, and then to calculate the angle between them. The "analyze" program always takes each structure fed to it as a whole, and outputs a ls-fitted global linear axis if the structure overall does not deviate significantly from a regular helix.
You might also want to play with Curves, which outputs a bending angle as part of its global analysis. As you know, this method is quite frequently mentioned in the literature.
HTH,
Xiang-Jun