Thank you for the image! It shows a geometric figure with three labeled angles: $x$, $y$, and $z$. This is likely a triangle with an extended line forming exterior angles.

To solve for $x$, $y$, or $z$, I'll need either specific values for any of these angles or additional context about their relationships (e.g., if they form a straight line, if any are supplementary, etc.).

Would you like to provide more details on this, or is there a particular question regarding the angles that you'd like me to solve?

Here are some relative questions to consider:

1. Do you know the values of any of the angles?
2. Are angles $x$, $y$, and $z$ part of a triangle and supplementary angle relationships?
3. Is this a triangle with external or internal angles that have specific relationships?
4. Are there any parallel lines or angle relationships (like vertical angles) in this figure?
5. Is there any context around these angles, such as specific theorems or angle properties you're working with?

Tip: Remember, in a triangle, the sum of the internal angles is always $180^\circ$, and supplementary angles on a straight line add up to $180^\circ$.