Originally Posted by
trek330
I finally insisted my neighborhood mechanic examine the derailleur hangar with the proper tool.It was bent! Alas after straightening the bent derailleur hangar I have perfect shifting and no more chain falling off when rolling backwards or pedaling backwards.Halleluyah!
Thanks for the update and I'm happy your problem has been solved. There are posters here who's almost reflexive recommendation to
any reported shifting problem is "CHECK THE REAR DERAILLEUR HANGER ALIGNMENT!" They will be gratified to hear that their advice actually solved a poster's problem.