Question

find the smallest angle of δwxy. assume that c is a positive number.

Explanation:

Step1: Identify side lengths

Sides: $WX=12c$, $WY=33c$, let $XY = x$

Step2: Apply triangle angle-side rule

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

Step3: Compare side lengths

Since $c>0$, $12c < 33c < x$ (as $x$ must be longer than $33c-12c=21c$ and shorter than $33c+12c=45c$, still longer than $12c$). The shortest side is $WX=12c$, which is opposite $\angle Y$.

Answer:

$\angle Y$