Played Dragon Age. It's a brilliant game. I won't say one game is better than the other because though both are RPGs, both are structurally very different.
Dragon Age's world is not as open as Divinity 2, but it has a level like system. Character classes are specified- Warrior, Rogue and Mage. They're not as flexible as Divinity 2.
Dragon Age: Origin's story is just as complex as Divinity 2. May be even more. There are numerous choices, and their outcome matters greatly. The game has lots of dialog, which would feel like cinematics.
One last thing, as SheaOhmsford mentioned, combat does not vary with your personal skill, but with how you level your character and your party members. That way, Dragon Age goes closer to pure pen and paper RPGs, like D&D, where as Divinity 2 is an action RPG at core.
I would add to the combat aspect...it is not turn based, although you can pause play and issue commands to each party member so that it seems semi-turn based. However, and I think they are addressing this fact, you can only issue one command at a time, then they perform default actions.
Or you can real-time the combat all the way through. To assist this aspect, they have numerous tactics options which can be set ahead of time for varying situations. Want your rogue to back-stab after fighter has aggro? No problem, you can set it. Want your mage(no cleric class, per se) to hit you with healing when you are down to 25% hit points? No problem, you can set it.
It's done well, and of the same vein as Baldur's Gate, Neverwinter Nights(2), etc.