[Inkscape-user] why doesn't this work?

I am trying to make a simple wedge shape that is 1/6 of a hexagon. So I used the polygon tool to make a hexagon. I convert it to a path. I duplicated it, shrunk it down some and used a boolean operation to cut a smaller hex shaped hole in the exact center of the larger hexagon. Then I used the node tool to select the extraneous nodes and delete them. Now I have two lines, both part of the same path, but not connected. When I select two end points on the lines and try to join them with a new segment, I get an error saying I haven't selected two nodes!!! So just for the heck of it, I used the bezier tool to make two separate lines, combined them to a single path and then tried to connect two end nodes with a new segment. Worked just fine. I could try to do the shape I am after this way, but getting everything positioned right might be something of a pain. I am just wondering why the first technique doesn't work. Seems like it should...