Formula used : By the virtue of similarity, if any two angles of the triangles are congruent, the third one will also be congruent

Proof : From the given information we can say that by the virtue of similarity, triangles OWS and OVT are similar.

Now, we know that

\(\displaystyle\vec{{{O}{W}}}=\vec{{{O}{V}}}={R}\)

Thus, now we can say that

\(\displaystyle\triangle{O}{W}{S}\stackrel{\sim}{=}\triangle{O}{V}{T}\)

Hence, for congruent triangles, we use virtue of congruency to tell us that

\(\displaystyle\vec{{{S}{O}}}\stackrel{\sim}{=}\vec{{{T}{O}}}\)

Hence, the given congruency is proved

Proof : From the given information we can say that by the virtue of similarity, triangles OWS and OVT are similar.

Now, we know that

\(\displaystyle\vec{{{O}{W}}}=\vec{{{O}{V}}}={R}\)

Thus, now we can say that

\(\displaystyle\triangle{O}{W}{S}\stackrel{\sim}{=}\triangle{O}{V}{T}\)

Hence, for congruent triangles, we use virtue of congruency to tell us that

\(\displaystyle\vec{{{S}{O}}}\stackrel{\sim}{=}\vec{{{T}{O}}}\)

Hence, the given congruency is proved