As JoAnn said previously, "Click on your Icon or Initial" in the Upper Right-hand Corner of the screen next to the "SEARCH" box. Then a drop-down menu will appear. Click on "Profile". That will take you to your "Profile Page". Click on "Messages" (Private Messages are in GREEN or BLUE boxes. Public Messages that everyone can see are in WHITE boxes.); Answers"; "Votes"; Likes"; Following" and "Followers"--which ever one you want to look at.
I hope someone can help answer this... (!) I also want to know how to access private messages and those I've sent out... would love to know if my messages were helpful...