Question

question 3 (1 point)
what is the measure of one external angle of a regular 20 - gon?
______ degrees
blank 1:

Explanation:

Step1: Recall the formula for the measure of an external angle of a regular polygon

The sum of the exterior angles of any polygon is \(360^{\circ}\). For a regular polygon with \(n\) sides, the measure of one exterior angle \(\theta=\frac{360^{\circ}}{n}\).

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

Here \(n = 20\), so \(\theta=\frac{360^{\circ}}{20}\).

$$ \theta = 18^{\circ} $$

Answer:

\(18\)