Question

each interior angle of a regular polygon is twice the measure of each exterior angle. How many diagonals does the polygon have?

Answer 1

are you able to figure out how many sides there are?

Answer 2

nope

Answer 3

If x is the exterior angle and y is the interior angle then

x+y = 180

"each interior angle of a regular polygon is twice the measure of each exterior angle", so

y = 2x

Answer 4

x+y = 180

x + 2x = 180

x = ???

Answer 5

180?

Answer 6

no

Answer 7

3x = 180

x = ??

Answer 8

360?

Answer 9

no

Answer 10

3x means 3 times x

Answer 11

3 times _____ = 180

what goes in the blank?

Answer 12

60?

Answer 13

good

Answer 14

x = 60

2x = ??

Answer 15

120?

Answer 16

so each interior angle is 120 degrees

each exterior angle is 60 degrees

Answer 17

if each exterior angle is 60 degrees, then how many sides are there?

Answer 18

120?

Answer 19

120 sides?

Answer 20

idont get it? ill have to divide? 60?

Answer 21

n = 360/E

n = 360/60

n = ???

Answer 22

aah! 6 ? :>

Answer 23

yes

Answer 24

now use the formula

d = n*(n-3)/2

d = # of diagonals
n = number of sides

Answer 25

9?

Answer 26

correct

Answer 27

yeay so it has 9 diagonals? right? :>

Answer 28

yes it does

Answer 29

yeaay! thank you very much :) ur soo smart :) i wish i was like you. Lol thank you bro :)

Answer 30

you're welcome