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Transparency of light does not depend on the angle of reflection vs the polarized plastic, the light itself is polarized depending on the source of the lightwaves. The waves from the sun are polarized in a different way than light from a lightbulb or a laser. The effect is also used in 3d film projection to seperate the two images apart instead of using red/blue glasses.

Ref http://en.wikipedia.org/wiki/Polarization for more information