Calculate the size of each exterior angle in: (a) a regular nine-sided polygon (b) a regular forty-sided polygon
Mathematics · Middle School · Thu Feb 04 2021
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To calculate the size of each exterior angle of a regular polygon, you can use the formula:
Exterior angle size = 360° / n
where n is the number of sides of the polygon.
(a) For a regular nine-sided polygon (nonagon), the calculation would be:
Exterior angle size = 360° / 9 Exterior angle size = 40°
So, each exterior angle of a regular nine-sided polygon is 40°.
(b) For a regular forty-sided polygon (tetracontagon), the calculation would be:
Exterior angle size = 360° / 40 Exterior angle size = 9°
So, each exterior angle of a regular forty-sided polygon is 9°.