Question

If the angle between the incident ray and the reflected ray is 90°, what are the values of the angle of incidence and angle of reflection?

Answer 1

Angle of reflection = Angle of Incidence (By law of reflection)

So Angle of reflection = Angle of Incidence = 45°

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Answer 2

Answer:

$\angle i = 45$ and $\angle r = 45$

Explanation:

Since we know that on a straight line the angle made by a semicircle is 180 i.e linear pair angles.

We know the first law of reflection i.e.an incident , reflected and normal to the surface all lie on the same point or same plane.

So, according to this

$\angle i + \angle r +90 =180$

$\angle i  +\angle r  = 90$..................(1)

According to the second law of reflection i.e. angle of incident is equals to the angle of reflection.

$\angle i =\angle r$.......................(2)

From (1) and (2) we get

$\angle i = 45$

and $\angle r = 45$

So, angle of incidence and angle of reflection is 45.