1. The problem asks us to find the angle $x$ in degrees for the sector labeled $x$ in a pie chart. 2. Pie charts represent parts of a whole, and the whole circle measures 360 degrees. 3. The fractions given represent the proportions of the circle for each sector: $\frac{2}{18}$, $x$, $\frac{3}{18}$, $\frac{8}{18}$, and $\frac{4}{18}$. 4. We know the sum of all sector fractions is 1 (or the whole circle): $$\frac{2}{18} + x + \frac{3}{18} + \frac{8}{18} + \frac{4}{18} = 1$$ 5. Add the known fractions: $$\frac{2}{18} + \frac{3}{18} + \frac{8}{18} + \frac{4}{18} = \frac{2+3+8+4}{18} = \frac{17}{18}$$ 6. Substitute back in the equation: $$\frac{17}{18} + x = 1$$ 7. Solve for $x$: $$x = 1 - \frac{17}{18} = \frac{18}{18} - \frac{17}{18} = \frac{1}{18}$$ 8. The sector $x$ represents $\frac{1}{18}$ of the circle. 9. Finally, convert the fraction of the circle to degrees: $$x = \frac{1}{18} \times 360 = 20$$ Answer: $x = 20^\circ$