Answer
In these two triangles, two consecutive angles on each of the triangles are congruent. One side is also congruent. Therefore, we can prove that these triangles are congruent using the AAS theorem, which states that if two angles and the side of one triangle are congruent to two angles and one side of another triangle, then those two triangles are congruent. We can say that $\triangle TVY$ is congruent to $\triangle YWX$. Congruent triangles have congruent sides, so $\overline{TV} ≅ \overline{YW}$.
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