There??s one angle of incidence onto a prism for which the light inside an isosceles prism

There??s one angle of incidence β onto a prism for which the light inside an isosceles prism travels parallel to the base and emerges at angle β.a. Find an expression for β in terms of the prism??s apex angle α and index of refraction n.b. A laboratory measurement finds that β = 52.2? for a prism shaped like an equilateral triangle. What is the prism??s index of refraction?

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FIGURE P34.58