Question

find the smallest angle of $\triangle pqr$. assume that $w$ is a positive number.

Explanation:

Step1: Identify shortest side

The side lengths are $62w$, $58w$, $42w$. Since $w>0$, the shortest side is $42w$, which is side $PR$, opposite $\angle Q$.

Step2: Apply triangle angle rule

In any triangle, the smallest angle is opposite the shortest side.

Answer:

$\angle Q$