Anyway, here's an example:

In this image, the darker ocher shape is on top of the lighter ocher shape and the shared point is indicated by the red dot. As you can see, the line exiting to the left side of the point is thicker than the line exiting to the right side. I realize that the issue is that the darker shape has a thicker line weight than the lighter one but I can't seem to get the line weights of the two shapes to match because the Line Weight tool only accepts percentage input, not a specified point value.
Thanks in advance for any help.
G.