Answer
Not enough information
Work Step by Step
According to the Hinge Theorem, if two consecutive sides in a triangle are congruent to two consecutive sides in another triangle, but their included angles are not congruent, then the side that is opposite to the larger included angle is longer than the side that is opposite the smaller included angle.
$\overline{XY}$ in $\triangle XYZ$ is congruent to $\overline{UW}$ in $\triangle UVW$, and $\overline{XZ}$ in $\triangle XYZ$ is congruent to $\overline{VW}$ in $\triangle UVW$.
We can see that we can no longer compare the two triangles because the included angle of $\triangle XYZ$, $\angle BCA$, is given a measure of $46^{\circ}$; however, we don't have the measure of the included angle of $\triangle UVW$, $\angle UWV$. Instead, we are given the measure of a non-included side, which we can't use to compare. Therefore, we do not have enough information to draw a conclusion about the two sides opposite the included angles.
