Playing angry birds is actually a lot of fun and besides being fun, without even realizing, we train ourselves in the daily business practices as:
Planning
Before you start playing the game, you look how the pigs are located and protected to determine the best strategy would be to beat the level as you should so do in real life: doing an inventory on the obstacles and the possibilities.
Efficiency
As you have limited birds with different abilities having their strengths and weaknesses, you have to be efficient with your resources to beat the level or as in business: get the job done with the resources you have.
Minimum effort, maximum output
The game gives you bonuses for the birds you have not used. By doing a good planning and by being efficient you can achieve the goal with the minimum effort.The game actually somehow forces you to be smart. Same applies in business.
Patience and Perseverance
As you progress in the game the levels get harder and mostly you will not succeed the first time you try. However by trying again and re-evaluating your tactic, you will succeed. By having patience and retrying each time you will be successful.
Experience
As you get more and more experienced the game becomes easier. You will start to see the patterns and develop tactics which you can use to achieve the goal. Your tactics will become more complex as you know how your resources act and even at some point be able to use your resources in a way you initially would not have thought of.
Luck factor
Sometimes you are just plain lucky. Your tactic did not work as you had thought but still you were able to achieve the goal. This is the same in business, sometimes you get lucky and sometimes not. Combined with experience you can even predict if you are going to be lucky and it can be even be integrated in your tactics with a backup plan if you were not lucky as expected.
I believe the success of Angry Birds is due to the fact that the game involves what we do daily (even some of us do without knowing) in a fun way.