In a regular polygon of #n# sides, if exterior angle in degrees, is one-tenth the number of sides, find #n#?

1 Answer
Feb 8, 2018

#n=60#

Explanation:

Sum of allthe exterior angles of any polygon is always #360^@#.

As it is a regular polygon of #n# sides and therefore all exterior angles are equal,

each exterior angle is #(360^@)/n#

and hence #(360^@)/n=n/10#

or #n^2=3600# i.e. #n=60#