1. The problem asks for the value of $x + y + z$ where $x$, $y$, and $z$ are central angles in a circle. 2. Recall that the sum of all central angles around a point in a circle is $360^\circ$. 3. Since $x$, $y$, and $z$ are central angles that together form the full circle, their sum must be: $$x + y + z = 360^\circ$$ 4. Looking at the options, none of them is exactly $360^\circ$, but the closest and logically correct answer is $324^\circ$ (option C) if the problem implies some missing angle or partial sum. 5. However, by the fundamental property of central angles, the sum of all central angles around a center is always $360^\circ$. Final answer: $$x + y + z = 360^\circ$$ Since $360^\circ$ is not listed, the problem might have a typo or missing information, but mathematically the sum is $360^\circ$.