I am using Sketchup, and it does measure the angle, just not accurately enough. It is actually interesting to watch Slic3r and the SD attempt to print something where it takes about 5 layers to lay down the bottom, from one edge to the other. The attempt is not successful, but it is interesting. Enter an angle of 1 degree into a regular print, if you're curious (and made of filament!)
I kept tweaking the rotation angles in Slic3r until it came up with something fairly close.
I designed a pyramidical lamp in Sketchup, and printed it in one pass. Turns out that wiring the thing is not easy, so I decided to print it as four separate panels, which I would glue together. This is why the part was designed in an orientation that did not start out flat on the X/Y plane. I imagine that others may encounter similar situations if they have to slice a part into separate pieces in order to print them, and then glue them together.