2024 AMC 12A Problem 10

Let \alpha be the radian measure of the smallest angle in a 3{-}4{-}5 right triangle. Let \beta be the radian measure of the smallest angle in a 7{-}24{-}25 right triangle. In terms of \alpha, what is \beta?

\textbf{(A) }\frac{\alpha}{3}\qquad \textbf{(B) }\alpha - \frac{\pi}{8}\qquad \textbf{(C) }\frac{\pi}{2} - 2\alpha \qquad \textbf{(D) }\frac{\alpha}{2}\qquad \textbf{(E) }\pi - 4\alpha\qquad

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.