Maybe not directly rotation but try this : Extrude an edge loop > Alt+S aka Shrink/Flatten > check in "offset even" in Shrink/Flatten dialog or make your own shortcut with "offset even" on > then GG to slide edge loop to what you need.
ps. shrink/flatten move things along normals so in some cases you need to make an extra extrude to get a polygon stripe which normals coud be used as a direction , then dissolve an edge loop in-between but in example you posted it's not necessary.
"easy" workaround would be to duplicate the top edge, convert to curve, make an extrude and tilt the curve into the right angle, then convert back to poly and delete one half of it
Thanks for the advices, guys. @gnoop your shrink/flatten method works really well (with minor manual corrections). @SnowInChina sorry, I didn't understand how it should works. Could you explain it in detail?
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@gnoop your shrink/flatten method works really well (with minor manual corrections).
@SnowInChina sorry, I didn't understand how it should works. Could you explain it in detail?