The reflecting surfaces of two intersecting flat mirrors are at an angle θ (0° < θ < 90°) as shown in the figure below. For a light ray that strikes the horizontal mirror, show that the emerging ray will intersect the incident ray at an angle β = 180° - 2θ. Assume that all angles are expressed in degrees and define the angles of incidence for the two reflections to be α and δ with respect to the normals. (a)Calculate β in terms of α and δ (b) Now calculate θ in terms of α and δ. (c) Combine the previous two results in order to obtain an expression for β in terms of θ

The reflecting surfaces of two intersecting flat mirrors are at an angle θ (0° < θ < 90°) as shown in the figure below. For a light ray that strikes the horizontal mirror, show that the emerging ray will intersect the incident ray at an angle β = 180° - 2θ. Assume that all angles are expressed in degrees and define the angles of incidence for the two reflections to be α and δ with respect to the normals. (a)Calculate β in terms of α and δ (b) Now calculate θ in terms of α and δ. (c) Combine the previous two results in order to obtain an expression for β in terms of θ