Question

find the shortest side of △wxy.

Explanation:

Step1: Find the third - angle measure

The sum of angles in a triangle is 180°. Let $\angle Y$ be the third angle. So, $\angle Y=180^{\circ}-(60^{\circ} + 56^{\circ})=180^{\circ}-116^{\circ}=64^{\circ}$.

Step2: Recall the angle - side relationship

In a triangle, the shortest side is opposite the smallest angle.
The angles are $56^{\circ}$, $60^{\circ}$, and $64^{\circ}$. The smallest angle is $56^{\circ}$.

Step3: Identify the shortest side

The side opposite the $56^{\circ}$ angle is $\overline{XY}$.

Answer:

$\overline{XY}$