Arrange lines clockwise rotation

I want to arrange a group of lines in order to get the consecutive, as it could describe the contour of a polygon in clockwise rotation. The lines or segments came from a polygon, but have been split at specific lengths, and for that reason I do not want to use the join component, because it would change the number an sizes of the segments. I would appreciate any idea (9.8 KB) (9.8 KB)