This will give you a good idea of how to cut the angles. What you can not see in this photo is that the fence is a joiner fence with an offset between the input and output sides.
Another solution is the Verticaly tilting router table by Pat Spielman.
I just go back from the VA, sat down and went through everyones links, pictures, videos, articles...
Looks like the Vertical Tilting Router Table is a variation of the tilting router lift that the next poster posted. Actually, I had seem that tilting router lift is one that I had looked into and debated with getting my RAS going again... That poster also posted a jig that is actually a router table with a sliding tilting table deck.... But the router itself is fixed.
Of all the routers I have, I don't have one that I feel comfortable about building a tilt mount for without a lot of extra fabrication. None of my 1/2" routers have a round housing without the base. I am saving up for one that would be perfect, but I'm on disability right now = very fixed income. It is a a goal. All that is another discussion. I don't have the time or money for that yet.
I was really interested on your photo Mike. Problem was the picture is blurry if you look at in original size. If you don't have a better picture of it, could you please describe it to me?
Mike- That picture, even though I couldn't see it in detail, reminded me of an angled miter router jig. An angled miter router jig is 2 rectangular panels (same size), joined at a long edge with 2 hinges. At the each end of the bottom panel is secured 2 small pieces of stock that stand straight up. In those pieces you cut an arched slot to secure to the upper panel using hanger bolts/washer/wingnut, like an arched quadrant stay in a drop lid desk. Could also drill holes for screws at predetermined angles. This jig, you open the upper panel to the angle you want, and secure on the ends to keep it at that angle. You usually put your work on top the upper panel (clamps) and slide the jig along the fence.
Problem with that jig is that you are routing the edge of the work. But for some reason, looking at "your" picture gave me an idea... If I build another angled miter sled and put a ledge on the lower edge, then secure it to my workbench. The workpiece is at the angled... Then build a skeleton that can support rails, but be adjustable verticaly and keep in square/perpendicular to the benchtop... Then I could make a bigger (40") mortise slot jig (with stops) to use a router.