Question

the measure of each exterior angle of a regular pentagon is ____ the measure of each exterior angle of a regular nonagon
greater than
less than
equal to**
If i'm wrong can you please explain to me why i'm wrong?

Answer 1

Surely you can see that the exterior angles of regular polygons with a different number of sides cannot be the same. Try drawing something easy, like a square and a pentagon.

As you travel around the outside of a polygon, you keep turning by the same angle. One trip around means you have turned through a full 360°. Thus the more sides, the smaller each turning angle. At each vertex of an n-gon, you make a turn of (360/n)°.

So, a pentagon has greater exterior angles than a nonagon.