^^ What he said!
You will also notice this on other phones, but it is quite irritating since we can't use landscape while using sunglasses in a car for instance while the device is in a dock.
I previously had a original Droid RAZR which also had a polarized screen, however, the polarizing film was at a 45 degree angle so it only caused issues with polarized sunglasses while turned diagonal at 45, portrait and landscape modes looked absolutely fine. It is unfortunate LG did this but maybe it was because the polarized film works better at a 90 degree orientation in sunlight and holding the phone, every review says it works great in the daylight, this could be why.