1. The problem states that the sum of the exterior angles of an n-sided polygon is given by $4 \times 70^\circ = 360^\circ$. 2. Recall the important rule: The sum of the exterior angles of any polygon is always $360^\circ$, regardless of the number of sides. 3. Here, the expression $4 \times 70^\circ$ is given to equal $360^\circ$. This means: $$4x = 360$$ where $x$ is the value we want to find. 4. To find $x$, divide both sides of the equation by 4: $$x = \frac{360}{4}$$ 5. Simplifying the right side: $$x = 90$$ 6. Therefore, the value of $x$ is 90 degrees. This means each exterior angle in the polygon is 90 degrees if there are 4 such angles summing to 360 degrees.