[color=white]<< I wish to produce an angular cut >>[/color]
[color=white]Probably better to stick with what you want to end up with, imo …[/color]
[color=white]Depending on all manner of stuff – geom in question, accuracy required, what you’re actually trying to achieve etc there are various options available – even tho’ there’s no Boolean Tools (as such) in wings.[/color]
[color=white]Taking the example quoted, after (arbitrarily) rotating the face, do a vector axis scale along the appropriate axis of the rotated face to increase it’s length (height) – but not its width.[/color]
[color=white]If precision isn’t an issue, then do this whilst Viewing -> X (or Z) ortho, and eyeball it.[/color]
[color=white](If precision IS important, I’d suggest checking out the facilities offered by the Vert / Edge Intersect tools.)[/color]
If angle is known and accuracy important, you have sufficient info to determine the scaling factor necessary to do the job (info on linked site)
With this example, though, you could have done many other things (with +Z face) to achieve a similar result.
Moved top edge –Z, bottom edge +Z (or vice versa)
Constructed new edges around the cube (check out Tools | Connect) and used Edge | Loop Cut to chop off the unwanted bit.
Selected +Z face and used Face | Lift (RMB option) – then moved the newly angled bit +/- Z as required.
Select top edge of face and used Edge | Slide.
Select and connect all edges parallel to Z axis, slide appropriate edge and loopcut off unwanted chunk.
Etc
For more complex situations, you could set up a reference plane (often a face of cube rotated as required) and use Tools | Connect to draw an (approx) line of intersection – then use Intersect (in conjunction with ref. plane) to get stuff more accurate.
These are only a few pointers – other pple will have their own approaches and as there are often many ways of achieving the required result, none are right / wrong – just different 
There’s more info covering some of the above at linked site – if not already seen.
Pp
[color=white]http://www.geocities.com/paulthepuzzles/aardvarks.html[/color]
[color=white]www.puzzledpaul.com[/color]