Recall that Theorem of congruent chords relating to their arcs states that the intercepted arcs of two chords are congruent if the two chords are of the same length.
The converse of this theorem states that if two intercepted arcs of two corresponding chords are congruent, then the two chords are congruent to each other.
Let's apply the converse of this theorem to the problem given.
We are given that the intercepted arcs of chord UV and chord UT are 34° each.
Therefore, chord UV must be congruent to chord UT.
