Answer:
Yes, because m<UVW is congruent to m<XVY and m<VUW is congruent to m<VXY
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
so
In this problem
we know that
[tex]m< VUW=55\°[/tex]
the measure of angle VXY is equal to
[tex]m<VXY+125\°=180\°[/tex] -----> by supplementary angles
[tex]m<VXY=180\°-125\°=55\°[/tex]
therefore
[tex]m< VUW=m<VXY=55\°[/tex]
Remember that
m<UVW=m<XVY -----> is the same vertex
therefore
Triangles VUW and VXY are similar by AAA Similarity Theorem ( the three angles are congruent)
