Question

find the shortest side of $\triangle uvx$.

Explanation:

Step1: Find $\angle UVX$

$\angle UVX = 180^\circ - 115^\circ = 65^\circ$

Step2: Calculate $\angle UX V$

$\angle UX V = 180^\circ - 62^\circ - 65^\circ = 53^\circ$

Step3: Match sides to angles

In a triangle, the shortest side is opposite the smallest angle. The smallest angle is $\angle UX V = 53^\circ$, which is opposite side $UV$.

Answer:

The shortest side of $\triangle UVX$ is $UV$.