find the measure of arc XZ given tangent angle and major arc

The angle formed by two tangents is $180^\circ - \text{minor arc}$. The major arc is $230^\circ$, so the minor arc is $360^\circ - 230^\circ = 130^\circ$. The angle at $Y$ is $180^\circ - 130^\circ = 50^\circ$. The question asks for the measure of arc $XZ$, which is $130^\circ$.