the diagram shows the reflection of light from a mirror. what is the value of x in the diagram? incoming…

Answer:

50°

Explanation:

Step1: Recall law of reflection

The angle of incidence is equal to the angle of reflection. The angle of incidence is the angle between the incoming - light ray and the normal to the mirror surface. The normal to the mirror surface is perpendicular to the mirror surface.

Step2: Calculate angle of incidence

The angle between the incoming - light ray and the mirror surface is 40°. The angle of incidence $\theta_i$ is $90^{\circ}-40^{\circ}=50^{\circ}$.

Step3: Determine angle of reflection

Since the angle of reflection $\theta_r$ is equal to the angle of incidence $\theta_i$ according to the law of reflection, and $x$ is the angle of reflection, so $x = 50^{\circ}$.