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Why do we draw a normal line between the angle of incidence and angle of reflection?
In the diagram given below, the ray of light approaching the mirror is known as the incident ray. The ray of light that leaves the mirror is known as the reflected ray. At the point of incidence where the ray strikes the mirror, an imaginary line can be drawn perpendicular to the surface of the mirror, which is known as a normal line.
"The normal ray gives us the perception of understanding when the angle of incidence, angle of reflection, and angle of refraction changes. We need the normal line, in any case, so that we might measure the angles with respect to the surface normal, as it divides the angle between the incident ray and the reflected ray into two equal angles".
The law of reflection states that when a ray of light is reflected off a surface, the angle of incidence, $\angle i$ (the angle between the incident ray and the normal) is equal to the angle of reflection, $\angle r$ (the angle between the reflected ray and the normal).
It can be given as $\angle i=\angle r$.