The point $O$ is the center of the circle circumscribed about $\triangle{XYZ}$. What is the degree measure of $\angle{XYZ}$?
Angle XOZ = 360 - 124 -92 = 144°
Angle XYZ is a circumscribed angle subtending the same arc as central angle XOZ
So...its measure is 1/2 angle XOZ = (1/2) * 144 = 72°
