<p><span style="color:#27ae60;"><span style="font-size:20px;">Solving the Problem</span></span></p>
<p>We should first deduce that $x$ is the exterior angle of this 9-sided regular polygon.</p>
<p>We know that the sum of the exterior angles of any regular polygon is $360^{\circ}$.</p>
<p>So, we can split this between the $9$ exterior angles to find the degree of each angle:</p>
<p>$x = \frac{360^{\circ}}{9} = 40^{\circ}$</p>
<p>So, the answer is <span style="color:#27ae60;">40</span>.</p>