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