Question

What is the measure of each exterior angle of a regular octagon is ___ the measure of each exterior angle of a regular hexagon.

A- Greater than

B- Less than

C- Equal to

Answer 1

E = 360/n

is the formula to use when computing the exterior angle E for any regular polygon with n sides. For an octagon, we have 8 sides meaning n = 8 leads to

E = 360/n = 360/8 = 45

The exterior angle of a regular octagon is 45 degrees

Repeat for n = 6 (hexagon) to get E = 360/n = 360/6 = 60. A regular hexagon has exterior angles of 60 degrees each.

We see that the regular octagon's exterior angles (45) are smaller than the regular hexagon's exterior angles (60)

-------------------------------------------

Answer: less than (choice B)