What is the measure of XYZ?

Answer:
C
Step-by-step explanation:
The measure of the chord- chord angle XYZ is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
∠ XYZ = [tex]\frac{1}{2}[/tex] ( arc XZ + arc VW )
= [tex]\frac{1}{2}[/tex] ( 17 + 55)° = 0.5 × 72° = 36° → C