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3) Calculate the size of each exterior angle in:
(a) a regular 9-sided polygon (b) a regular 40-sided polygon

Respuesta :

Answer:

40° and 9°

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

If the polygon is regular then the measure of each exterior angle is

[tex]\frac{360}{n}[/tex] ← where n is the number of sides

(a) for a regular 9 sided polygon

exterior angle = [tex]\frac{360}{9}[/tex] = 40°

(b) for a regular 40 sided polygon

exterior angle = [tex]\frac{360}{40}[/tex] = 9°

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