1. **Problem statement:** Find the value of $x$ in triangle $ABC$ where angles are $x^\circ$ at $A$, $2x^\circ$ at $B$, and $330^\circ$ at $C$. 2. **Formula used:** The sum of interior angles in any triangle is always $180^\circ$. 3. **Set up the equation:** $$x + 2x + 330 = 180$$ 4. **Simplify the equation:** $$3x + 330 = 180$$ 5. **Isolate $x$:** $$3x = 180 - 330$$ $$3x = -150$$ 6. **Divide both sides by 3:** $$\cancel{3}x = \frac{-150}{\cancel{3}}$$ $$x = -50$$ 7. **Interpretation:** The value $x = -50$ is not possible for an angle in a triangle, indicating the given angle $330^\circ$ is incorrect or the figure is not a triangle. Usually, angles in a triangle must be positive and sum to $180^\circ$. **Final answer:** $x = -50$ (which is not valid for a triangle angle). Please check the problem statement or diagram for errors.