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What is the value of if in the given figure $AB$ is a mirror, $PQ$ is the incident ray and $QR$ is the reflected ray and $∠ P Q R = 108 °$ ?

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54°

36°

18°

72°

answer is B.

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Detailed Solution

Given that AB is a mirror, PQ is the incident ray QR is the reflected ray

∠ P Q R = 108 °

.
Determining the value of

.
Since the incident ray makes the same angle as the reflected ray, thus,
Angle of incidence = Angle of reflection

By property of linear pair of angles,

Putting the value of

∠ P Q R = 108

in the above equation,
Question Image

∠ A Q P = 7202 ∠ A Q P = 360

Therefore, the value of

360

.
Hence, option (2) is correct.

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