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  4. Rays of light strike a horizontal plane mirror at an angle of 45°. A second plane mirror is arranged at an angle θ with it. If the ray after reflection from the second mirror goes horizontally parallel to the first mirror then θ is (in degree)

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Q. Rays of light strike a horizontal plane mirror at an angle of $45^{\circ}$. A second plane mirror is arranged at an angle $\theta$ with it. If the ray after reflection from the second mirror goes horizontally parallel to the first mirror then $\theta$ is (in degree)

Ray Optics and Optical Instruments

Solution:

image
From $\triangle AOB$,
$\theta+\theta+45^{\circ}=180^{\circ}$
$\theta=\frac{135^{\circ}}{2}=67.5^{\circ}$