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Calculating incident angle where there is total internal reflection

Calculate the angle of incidence of a ray of light on one face of a glass prism of angle 60.0° and made of a material of refractive index 1.50, if the ray is just totally internally reflected at the second face.

I tried working out the critical angle and thought that the incident angle would be a little bit greater, as the ray is just internally reflected, but the actual answer is less than the critical angle I calculated.
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