Question

what is the degree of the exterior angle for a regular 20 - gon?
______ degrees

question 12
1 pts
what is the degree of the exterior angle for a regular octagon?
______ degrees

Explanation:

Step1: Recall the formula for the measure of an exterior 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 each exterior angle \(E=\frac{360^{\circ}}{n}\)

Step2: Calculate for a regular 20 - gon

For a regular 20 - gon, \(n = 20\). Then \(E=\frac{360^{\circ}}{20}=18^{\circ}\)

Step3: Calculate for a regular octagon

For a regular octagon, \(n = 8\). Then \(E=\frac{360^{\circ}}{8}=45^{\circ}\)

Answer:

18 degrees
45 degrees