Question

what is the size of each of the exterior angles of a regular 18-sided polygon?

Explanation:

⚡ Using what you learned: properties of polygons

Step 1: Identify the sum of exterior angles

The sum of the exterior angles of any convex polygon is always \( 360^\circ \).

Step 2: Calculate the size of each exterior angle

For a regular polygon with \( n \) sides, all exterior angles are equal. Divide the sum by the number of sides, where \( n = 18 \):

$$ \text{Exterior Angle} = \frac{360^\circ}{18} $$

$$ \text{Exterior Angle} = 20^\circ $$

Answer:

\( 20^\circ \)