Find the measure of an interior and an exterior angle of a regular 46-gon

Question

Find the measure of an interior and an exterior angle of a regular 46-gon.

Answer 1

interior angles

 

180(n-2)=sum of the interior angles

180(46-2)

180(44)

7920

7920/46=172.17391º for each interior angle

 

exterior angles

the sum of the exterior angles of any polygon is 360º

360/46=7.826087º

 

notice that 172.17+7.83=180