1. **State the problem:** Find the value of $x$ in a triangle with angles $60^\circ$, $50^\circ$, and $x$. 2. **Formula:** The sum of angles in any triangle is always $180^\circ$. 3. **Apply the formula:** $$60^\circ + 50^\circ + x = 180^\circ$$ 4. **Simplify:** $$110^\circ + x = 180^\circ$$ 5. **Solve for $x$:** $$x = 180^\circ - 110^\circ$$ 6. **Calculate:** $$x = 70^\circ$$ **Final answer:** $x = 70^\circ$