Question

the exterior angle of a regular polygon is one third of its interior angle. find the number of sides in the polygon

Answer 1

EXTERIOR+INTERIOR=180 degree
INTERIOR=3 times EXTERIOR
E+3E=180 degree
so E=45 degree
I=135 degree
INTERIOR ANGLE=(n-2)*180/n
135n=180n-360
-45n=-360
that is,n=8