Firstly check if you pc/laptop can run angry birds rio (check angry bird rio system requirements @google).
Secondly update your graphics drivers. onboard intel/nvidia/ati. (check manufacturer site to download the latest one).
Thirdly install latest directx redist (check microsoft site)
Play the game (no need to reinstall).
Still not working than post your details (win+R > dxdiag) System and Display tab .