Question

find the shortest side of $\triangle uvw$.

Explanation:

Step1: Sum angles to 180°

$53z + 60z + 67z = 180$

Step2: Combine like terms

$180z = 180$

Step3: Solve for z

$z = \frac{180}{180} = 1$

Step4: Find each angle

$\angle V = 53(1) = 53^\circ$, $\angle U = 60(1) = 60^\circ$, $\angle W = 67(1) = 67^\circ$

Step5: Match side to smallest angle

The shortest side is opposite the smallest angle ($\angle V$), which is $UW$.

Answer:

$\overline{UW}$