1. **Problem statement:** Find all missing angles in the first circle of the first row with angles $x$, $y$, $z$, $100^\circ$, and $108^\circ$ around points $A$, $B$, $C$, $T$, and $O$. 2. **Formula and rules:** The sum of angles around a point is $360^\circ$. This means: $$x + y + z + 100 + 108 = 360$$ 3. **Calculate missing angles:** $$x + y + z + 208 = 360$$ $$x + y + z = 360 - 208 = 152$$ 4. **Reasoning:** Without additional information, we cannot find individual values of $x$, $y$, and $z$, only their sum. 5. **Final answer:** The sum of the missing angles $x + y + z$ is $152^\circ$. This completes the solution for the first problem.