The interior angle of a regular polygon is 6 times its exterior angle find the number of sides of the polygon.

REEMARAVAGE

1 year ago

interior angle of a polygon =(n-2)x180
exterior angle =360
interior is 6 times exterior=(n-2)x180=6x360
(n-2)x180=2160
divide both sides by 180
(n-2)x180/180=2160/180
n-2=12
add 2 to both sides
n-2+2=12+2
n=14