Brewster's law states that when light passes from one transparent medium into another at a particular angle known as Brewster's angle, the reflected light will be completely polarized. The document defines Brewster's angle using the refractive indices of the two media and shows the relationship between Brewster's angle and the critical angle. It provides examples of how Brewster's law is applied in polarized sunglasses and photography filters to reduce glare from reflections at surfaces.