The size of an exterior angle of a regular polygon is 40^circ Therefore, the polygon has __ sides. 4 8 9 10 1 pont

## Step 1<br />The sum of the exterior angles of any polygon is always \(360^{\circ}\). This is a fundamental property of polygons.<br /><br />## Step 2<br />Given that the size of an exterior angle of a regular polygon is \(40^{\circ}\), we can find the number of sides of the polygon by dividing the total sum of the exterior angles by the size of one exterior angle.<br /><br />### **Number of sides = \(\frac{360^{\circ}}{40^{\circ}}\)**<br /><br />## Step 3<br />Perform the division to find the number of sides.