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  4. Two plane mirrors are inclined to each other at some angle. A ray of light incident at an angle of 30° on one of the mirrors, after reflection from the other, retraces its path. The angle (in degree) between the mirrors

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Q. Two plane mirrors are inclined to each other at some angle. A ray of light incident at an angle of $30^\circ $ on one of the mirrors, after reflection from the other, retraces its path. The angle (in degree) between the mirrors

NTA AbhyasNTA Abhyas 2022

Solution:

Solution
$\angle i=∠r=30^\circ $
$\therefore \angle OIQ=60^\circ $
$\therefore \angle IOQ$ $=90^\circ -60^\circ =30^\circ $