In the diagram below, XY and YZ are tangent to O which expression gives the measure of XYZ?

The solution of this question will make use of the Two Tangents from Point Theorem which states that "the measure of an angle formed by two tangents drawn from a point outside the circle is half the the difference of the intercepted arcs".
We can also see that the measure of arcs are: [tex] \overarc{XWZ}=245^{\circ} [/tex] and[tex] \overarc{XZ}=115^{\circ} [/tex]
Thus, as per the theorem, the measure of the [tex] \angle XYZ [/tex] can be calculated as:
[tex] m\angle XYZ=\frac{1}{2}(\overarc{XWZ}- \overarc{XZ}) [/tex]
Therefore, we get:
[tex] m\angle XYZ=\frac{1}{2}(245^{\circ} -115^{\circ}) [/tex]
Thus, out of the given options, option B is the correct option.