We can conclude that any two triangles are congruent if they follow any one of the congruence postulates.
Let us analyze the given triangles.
From the above figure,
Angle T = Angle W (as they are alternate angles hence equal)
Side TU = Side WU (as the dashed line suggests that they are equal)
Angle TUS = Angle WUV (since they are opposite angles hence equal)
Also, note that the side which is equal contains the two angles which are equal, therefore, it is called the "including" side.
So we have Angle, Side, Angle (ASA) which means that the triangles have two equal angles and one equal including side.
Therefore, we can conclude that the two triangles are congruent and the congruence postulate is ASA