1. **State the problem:** We have a triangle with angles labeled $y$, $x$, $50$, $70$, and $z$. We are asked to find the value of $x$. 2. **Recall the triangle angle sum rule:** The sum of the interior angles of any triangle is always $180^\circ$. 3. **Identify the angles in the triangle:** From the description, the triangle has three angles: $x$, $50^\circ$, and $70^\circ$. 4. **Set up the equation:** $$x + 50 + 70 = 180$$ 5. **Simplify the equation:** $$x + 120 = 180$$ 6. **Solve for $x$:** $$x = 180 - 120$$ $$x = 60$$ 7. **Conclusion:** The value of $x$ is $60^\circ$.