Question

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

Explanation:

Step1: Identify side lengths

Side lengths: $PQ=62w$, $QR=58w$, $RP=42w$

Step2: Match side to opposite angle

• $PQ$ opposite $\angle R$, $QR$ opposite $\angle P$, $RP$ opposite $\angle Q$

Step3: Find smallest angle rule

Smallest angle faces shortest side. Shortest side is $42w$ (side $RP$), opposite $\angle Q$.

Answer:

$\angle Q$