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A light ray is incident at an incident angle $θ_{1}$ on the system of two plane mirrors $M_{1} a n d M_{2}$ having an inclination angle $75^{0}$ between them (as shown in figure). After reflecting from the mirror $M_{1}$ , it gets reflected back by the mirror $M_{2}$ with an angle of reflection $30^{0}$ . The total deviation of the ray will be ________ degree.

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answer is 210.

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Detailed Solution

Given that the ray is finally reflected by $30^{0}$ at point B.
Therefore $δ = 360^{0} - 2 (i_{1} + i_{2}) = 210^{0}$

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