Question #a0abc

1 Answer
Sep 20, 2017

Assuming we are working with a regular polygon the equation would be
#360/n#

Explanation:

A regular polygon is defined by all sides and all angles having equal measures.

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The sum of the exterior angles of a regular polygon is #360^o#

Using the equation #360^o/n# = exterior angle, where #n=# the number of angles of the polygon.

For the three samples above

Triangle #n=3# #360^o/3 = 120^o#

Square #n=4# #360^o/4 = 90^o#

Pentagon #n=5# #360^o/5 = 72^o#