Question #482a4

1 Answer
Sep 14, 2017

A 20-gon has exterior angles of #18^o#

Explanation:

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As with any polygon the sum of the exterior angles must be #360^o#

Divide #360^o# by the number of angles of the polygon to determine the value of the exterior angle.

Triangle #(360^o)/3 = 120^o#

Square #(360^o)/4 = 90^o#

Pentagon #(360^o)/5 = 72^o#

So for a 20-gon divide #360^o# by #20#

20-gon #(360^o)/20 = 18^o#