144k views
3 votes
Find the sum of exterior angles of a 16-gon. (explain your answer for full credit)

User FishStix
by
3.9k points

1 Answer

5 votes

Answer:

Whatever the number of sides of a polygon, the sum of its exterior angles is always 360∘ Further, each pair of exterior angle and interior angle adds up to

180∘ Hence in a polygon with n sides (or angles), the sum of all the interior and exterior angles would be 180∘ * n and sum of interior angles would be 180∘ * n - 360 = 180∘ (n - 2) Hence sum of interior angles of a convex 16-sided polygon would be 180∘ * (16 - 2) = 180∘ * 14 = 2520∘

(By The Way ∘ = Degrees)

(I hope this helps!)

User Catchdave
by
3.8k points