Final answer:
The question lacks a visual representation of the geometric figure, which is essential for calculating the requested angles. Without the diagram, we cannot provide the values of angles x, y, and z.
Step-by-step explanation:
The student's question pertains to finding the values of angles in a geometric figure involving a circle, a diameter, a tangent, and various marked points and angles. To solve such problems, we often utilize properties of circles, tangents, and angles.
Unfortunately, without a visual representation of the figure, the specific calculation of angles x, y, and z cannot be completed, as those angles depend on the geometric relationships within the figure. Normally, we would use the property that the angle formed by a tangent and a radius is 90 degrees, and that the angles in a quadrilateral add up to 360 degrees, among others, to solve for x, y, and z.
However, to assist the student in a meaningful way, further clarification or a diagram from the student would be necessary.