Question

what is the value of each exterior angle of a regular 20 - gon? ______°

Explanation:

Step1: Recall the formula for exterior angles of a regular polygon

For any regular polygon, the sum of the exterior angles is always \( 360^\circ \). And for a regular \( n \)-gon, each exterior angle \( \theta \) is given by the formula \( \theta=\frac{360^\circ}{n} \), where \( n \) is the number of sides of the polygon.

Step2: Substitute \( n = 20 \) into the formula

Here, the polygon is a regular 20 - gon, so \( n = 20 \). Substituting \( n = 20 \) into the formula \( \theta=\frac{360^\circ}{n} \), we get \( \theta=\frac{360^\circ}{20} \).

Step3: Calculate the value

\( \frac{360^\circ}{20}=18^\circ \).

Answer:

\( 18 \)