Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
Chapter Review
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Exercise 8 Page 421

Regular hexagon: 360
Regular 16-gon: 360
Regular pentagon: 360

Practice makes perfect
Let's recall the Polygon Exterior Angles Theorem.

The sum of the measures of the exterior angles of a convex polygon with one angle at each vertex is 360^(∘).

Any regular polygon is also a convex polygon. Therefore, by the Polygon Exterior Angles Theorem the sum of the exterior angles of convex polygons is 360. We are ready to answer the question!

  • Regular hexagon: The sum of the exterior angles is 360^(∘).
  • Regular 16 -gon: The sum of the exterior angles is 360^(∘).
  • Regular pentagon: The sum of the exterior angles is 360^(∘).