Question

The measure of each exterior angle of a regular 5-gon is ______ the measure of each exterior angle of a regular 9-gon?
A.greater than
B.less than *
C. Equal to
I believe it is B please explain to me, I'm very confused.

Answer 1

make the question easier

Answer 2

say you make 5 (equal turns) and end up making a full circle
now compare that to making
9 equal turns and making a full circle

which way has the "bigger turn" per side ?

Answer 3

the 9 one

Answer 4

yeah the 9 one more

Answer 5

let's use smaller numbers:

say you take two turns: first turn 180, then turn another 180 to make a full 360

now take 360 turns: each turn is 1 degree and after 360 turns you make a full circle

Answer 6

medal please

Answer 7

would be the 180 first turn ? to turn to another?

Answer 8

WAIT no it would be The 2nd choice??? wouldn't it?

Answer 9

I want you to think: if you turn a just a few times, then each turn has to be *big*
(so that you get to 360)
if you take lots of turns, each one has to be small

Answer 10

right yes, I understand that.

Answer 11

so exterior angle of a regular 5-gon is ____ compared to the ext angle of a 9-gon?

fewer sides means a *bigger angle* (you turn once for each side)

Answer 12

Okay so it would be greater than? I feel like this is a tricky question. 5 is fewer than 9 so you would make a bigger turn for example?@phi

Answer 13

exactly

Answer 14

One reason to learn math is it's an excuse to learn how to think (figure out things that are not obvious) Practice helps a lot.