AP E JC885,464
02 Mar 2014 14 Aug 2014
Update: Patch 08/13/14 doesn't void the exploit (Thanks MathGuy42 again), so you can still unlock the achievement with the patch.
Well, there are awesome guides here with tips on how to complete levels, but I want here to give an alternative, avoiding the hard levels.
You can complete the same objective over and over and have it counts toward the achievement. The trick is that the objective must be completed before ending the level.
If you meet the requirements of the level and exit it (by choosing menu > exit). You'll see it completed in the level choice screen. Now, if you dashboard, quit peggle (menu > quit app) and restart you see it is not completed anymore, but it counted for the achievement (you can check on the achievement progress app). Then you can complete it again, exit, dashboard, etc.. several times.
As a matter of fact, you could complete the same objective 180 times and unlock the achievement, although I wouldn't recommend it.
So, my advice is to save an easy objective for later and when you feel the objectives are too hard, simply complete it over and over using this guide.
That's why people are reporting to unlock the achievement before 180 objectives, they must have exited in the middle of some level after completing an objective.