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Gayle sent these photos. Gayle, Looking down from the top the octagon I see is (not to scale) I added labels, drew FI which bisects angle EFG and extended the sides EF and HG to meet at J. If the sides AB and EF are parallel and the sides CD and GH are parallel, as they seem to be in your pictures, and if the lengths FJ and JG are equal then the angle GFJ measures 45^{o}. This hen means that the angle EFG measures 180^{o}  45^{o} = 135^{o} and thus angle EFI measures 135^{o}/2 = 67.5^{o}. This is the cutting angle. Harley  


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