The question in the image asks:

"The exterior angle of a regular polygon measures 8°. How many sides does the polygon have?"

To solve this, use the formula for the exterior angle of a regular polygon:

$\text{Exterior Angle} = \frac{360^\circ}{n}$

Where $n$ is the number of sides of the polygon.

Given that the exterior angle is $8^\circ$:

$8 = \frac{360}{n}$

Now, solve for $n$:

$n = \frac{360}{8} = 45$

Therefore, the polygon has 45 sides.

Would you like more details or explanations on this?

Here are 5 related questions:

1. What is the formula for the interior angle of a regular polygon?
2. How do you find the sum of interior angles of a polygon?
3. What is the relationship between interior and exterior angles of a polygon?
4. How would you solve for the number of sides if given an interior angle?
5. Can a regular polygon have an exterior angle greater than 90°?

Tip: The sum of all exterior angles of any polygon, regardless of the number of sides, is always $360^\circ$.