what is the angle of incidence of a ray if the reflected ray is at angle 80° to the incident ray
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Given,
The reflected ray is at 80° to the incident ray.
So, ∠i + ∠e = 80
We know that the normal divides both the angles ( ∠i and ∠e ) equally, it means angle of incidence = angle of reflection( ∠i = ∠e ).
Now, ∠i +∠e = 80°
⇒ ∠i + ∠i = 80° ( ∵ ∠e = ∠i )
⇒ 2∠i = 80°
⇒ ∠i = 80° / 2
⇒ ∠i = 40°
∴The angle of incidence is 40°.
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