Drawing Objects with Compound Angles

The attached drawing is a mock up for figuring out how to draw the components for a gable-end louver and to determine the settings for a compound miter saw to make cuts. This involves a compound angle, but I can’t get the piece to have a closed face on the compound cut end, as you can see in the object at right.

The slope of the eave is 106.2 degrees and becomes 53.1 degrees for each side. The slats are to be tilted toward the rear at 22.5 degrees. I drew the components, made them groups, then manipulated them into position using those angles. I was able to ‘mark’ the slat piece to show where cuts would be made. I then copied the ‘cut’ piece and pasted it into the drawing, but I cannot get the end with the compound angle to close into a solid.

The dark area in the ‘uncut’ piece in the middle is the waste. I lack the math skills to figure out the angles needed to set a compound miter saw to make the cuts. I had thought that I would be able to determine the angles needed by making a mock up drawing.

What am I doing wrong? Anyone up to teaching me the math needed? How do I fix the drawing?

You forgot the file.

I do lots of compound roof systems - I don’t use the math - I model and I use groups to cut things away that I need to get the final shape.

Maybe I’ll be able to help if I see the file.

Well, that’s embarrassing.

Example.skp (140.3 KB)

First I would model the slat and make the component before rotating the object. Then I would use Trim from Eneroth Solid Tools to trim the slat with the other object.
compound

The face on your slat didn’t fill because the edges aren’t coplanar. I drew in the correct edge at the back and the face filled fine.

Thank you, Gentlemen.

You must have changed your profile. It indicated you were using SketchUp Pro when I replied with the method of using Eneroth Solid Tools. Had it indicated that you are using SketchUp Make at the time, I would not have suggested that method.