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Each exterior angle of a regular polygon is approximately 21.18 degrees What is the sum of the interior angles of the polygon?

Mrperezz ∙

Lvl 1

∙ 11y ago

Updated: 11/1/2022

sum_exterior_angles = 360°

= number_of_sides x exterior_angle

→ number_of_sides = 360° ÷ exterior_angle

sum_interior_angles = 180° x (number_of_sides - 2)

= 180° x (360° ÷ exterior_angle - 2)

≈ 180° x (360° ÷ 21.18 - 2)

≈ 180° x (17 - 2)

= 2700°

Wiki User

∙ 11y ago

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