From the law of reflection on flat surfaces:

$\overline{){{\mathbf{\theta}}}_{{\mathbf{i}}}{\mathbf{=}}{{\mathbf{\theta}}}_{{\mathbf{r}}}}$, where θ_{i} is the angle of incidence and θ_{r} is the angle of reflection.

From the figure, θ_{i} = θ_{1}

and

θ_{r} = θ_{2}

Now, find the angle θ_{4} shown in the figure in terms of θ_{1} and α.

Express your answer in degrees in terms of θ_{1} and α.

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