Answer:
The triangles are similar
Explanation:
Since EF ║ UT, m∠FUT = m∠EFU because alternate interior angles are congruent when lines are parallel.
m∠UDT = m∠EDF because vertical angles are congruetnt
Therefore ΔUDF is similar to ΔFDE because if two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar.