In the given figure we have two triangles ∆TUW and ∆VUW .
In the given triangles ∆TUW and ∆VUW , we have
∠TUW ≅ ∠VUW [Given]
UW=UW [Reflexive]
∠UWT≅∠UWV [Given]
Therefore, by ASA congruence postulate
∆TUW ≅ ∆VUW [write corresponding parts in same order.]
ASA congruence postulate says that if two angles and the included side of a triangle are congruent or equal to the corresponding parts of another triangle, then the triangles are congruent.