A student performs an experiment in which he puts two mirrors perpendicular to each other as shown in the figure. If angle ‘P’ is 30°, then

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$∠ Q = 60^{\circ}, ∠ R = 60^{\circ}$

$∠ Q = 30^{\circ}, ∠ R = 45^{\circ}$

$∠ Q = 30^{\circ}, ∠ R = 60^{\circ}$

$∠ Q = 60^{\circ}, ∠ R = 30^{\circ}$

answer is D.

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Detailed Solution

From the triangle ABC

$\begin{array}{l} 30^{\circ} + 90^{\circ} + ∠ Q = 180^{\circ} \\ ∠ Q = 180^{\circ} - 120^{\circ} \\ ∠ Q = 60^{\circ} \\ ∠ R + ∠ Q = 90^{\circ} \\ ∠ R = 90^{\circ} - 60^{\circ} \\ ∠ R = 30^{\circ} . \end{array}$

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