AMC 12 2024a 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 $\beta$?

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