SOLUTION: Find the measure of an exterior angle of a regular polygon with 20 sides. Round to the nearest tenth if necessary? Find the measure of each exterior angle for a regular nonagon.

Algebra ->  Polygons -> SOLUTION: Find the measure of an exterior angle of a regular polygon with 20 sides. Round to the nearest tenth if necessary? Find the measure of each exterior angle for a regular nonagon.      Log On


   

Question 943532: Find the measure of an exterior angle of a regular polygon with 20 sides. Round to the nearest tenth if necessary?
Find the measure of each exterior angle for a regular nonagon. Round to the nearest tenth if necessary?

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
sum of exterior angles of a polygon=360 degrees
exterior angle=360/n where n is the number of sides
exterior angle=360/20=18 degrees ANSWER 1 The exterior angles of a regular polygon with 20 sides each measure 18 degrees.
A nonagon has 9 sides so
exterior angle=360/9=40 degrees ANSWER 2 The exterior angles of a regular nonagon each measure 40 degrees