Aberdeen thought they had Rangers beat, but two very late goals by Scott Arfield tipped the scales in the favour of the Gers.
Fashion Sakala broke the deadlock after 12 minutes, reacting quickest to a chance in the home side's box.
The Reds responded just mere moments before half-time, through Duk, who hit a sweet free-kick beyond Allan McGregor.
Aberdeen had turned the match on its head by the 53rd minute as Liverpool loanee Leighton Clarkson fired ahead.
It looked as if the Reds would see out a 2-1 win, but two late strikes by Arfield saw Rangers turn the tables once again.
In the 95th minute, the former Canada international slammed a close-range effort home, which he repeated just 120 seconds after the reset to make it 3-2 to the Gers.
