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Let r be the angle of the ray, and R the angle of reflection.

If the wall is flat (i.e., if its angle is 0), then we know that r + R = Pi/2.

Now suppose the wall has angle w. Then rotate the diagram by -w,

so that the wall is now flat again, and the angles of the ray and its

reflection are now r - w and R - w, respectively.

We then have (r - w) + (R - w) = Pi/2, which should give you enough

information to find R.

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Q: Is there an algebraic formula for determining an angle of reflection using only the angle of the ray and the angle of the wall?
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There isn't a formula for determining the degrees of a simple acute angle. The only way is with a protractor or estimate.


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The formula for calculating the angle of incidence is: Angle of Incidence = Angle of Reflection. The angle of incidence is the angle between the incident ray and the normal to the surface at the point of incidence.


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