Question

find the smallest angle of $\triangle tuv$. assume that $b$ is a positive number.

Explanation:

Step1: Recall triangle side-angle relationship

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

Step2: Compare side lengths

We have side lengths: $36b$, $11b$, and the side opposite $\angle V$ (length unknown). Since $b>0$, $11b < 36b$.

Step3: Identify angle opposite shortest side

The side $11b$ is opposite $\angle U$.

Answer:

$\angle U$