Answer:
63.5°
Step-by-step explanation:
By inscribed angle theorem:
[tex] m\angle XYZ=\frac{1}{2} \times m\widehat {XZ} [/tex]
[tex] \therefore m\angle XYZ=\frac{1}{2} \times 127\degree [/tex]
[tex] \therefore m\angle XYZ=63.5\degree [/tex]
