1. **State the problem:** We need to find the central angle $x$ in a circle given an inscribed angle of $70^\circ$ that subtends the same arc.
2. **Recall the rule:** The central angle subtending an arc is twice the inscribed angle subtending the same arc. This is a fundamental property of circles.
3. **Write the formula:**
$$x = 2 \times \text{inscribed angle}$$
4. **Substitute the given value:**
$$x = 2 \times 70^\circ$$
5. **Calculate:**
$$x = 140^\circ$$
6. **Conclusion:** The central angle $x$ is $140^\circ$.
Therefore, the correct answer is option a. $140^\circ$.
Central Angle 5B708C
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.