How can I soften these edges? I would like to soften the hard edges of this shape (the edges selected). I tried to extrude the edge and scaled it down but because edges are not on the same plane it doesn't work. Can't add loopcut too. Thanks .
PS this question is the following of "How can I keep hard edges with this shape?"


@Neil Giliomee thanks but unfortunately I cannot add a Loop Cut. Here what happens. Loop Cuts don't reproduce the shape of the edges.




The result after having applied two Loop Cuts.
I created a rough remake of your shape



Start by adding a loop cut as shown



Add another loop cut here



The SubSurf modifier will work much better now