Simultaneous reflection and refraction

A ray of light is incident at an angle of 7 5 75^\circ into a medium of refractive index n n . The reflected and refracted rays are both found to suffer equal deviations in opposite directions.

What is the value of n ? n?

3 + 1 2 \dfrac{\sqrt{3}+1}{2} 3 + 1 3 1 \dfrac{\sqrt{3}+1}{\sqrt{3}-1} 3 1 2 \dfrac{\sqrt{3}-1}{2} 2 3 + 1 \dfrac{2}{\sqrt{3}+1} None of these

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