Answer: Option 'B' is correct.
Explanation:
Since we have given that
Measure of UZ = 127°
∠YVZ=∠XVZ=90°
Now, we know that ∠YVZ and ∠UVZ are linear pair.
so, it becomes,

So, now we have the measure of angle 90° and one intercepted arc which is equal to 127°.
As we know that the measure of angle is half the sum of the intercepted arcs,
so, it becomes,

Hence, the measure of XY is 53°.
Therefore, Option 'B' is correct.