Question

help again please

Answer 1

this time its a 11-gon

Answer 2

ok so 11 gon
the angles are all equal
the measure of each is (11-2) times 180

Answer 3

then the result +x =180

Answer 4

again the same principal okay

Answer 5

okay

Answer 6

do the same we did !! let me seee your work

Answer 7

so sum(11-2)180 is that how you substitute it

Answer 8

that's the sum of all angles is 11 gon

Answer 9

so the sum must be divided to 11
since they are all equal

Answer 10

so first you find the sum then divide by 11 ?

Answer 11

yes!

Answer 12

ok good, so how do you find the sum

Answer 13

i just showed
(n-2)x180 is the sum of interior angles in any regular polygon no matter what is

Answer 14

here n=11
so (11-2)x180 is the total of all angles

Answer 15

Do you get what I'm saying?

Answer 16

kinda losing ya

Answer 17

okay!
what is the sum of interior angles in a quadrilateral?

Answer 18

with four sides?

Answer 19

4

Answer 20

no i'm retriceing for the sum of all angles

Answer 21

im asking* (correction)

Answer 22

sum of anlges in this

Answer 23

4?

Answer 24

no that's the number of sides

Answer 25

i'm asking angles do you know what an angles is ?

Answer 26

wait is it 90 x 4

Answer 27

yes 90x4=360
but this does not work all the time
only when the angles are 90 degree

Answer 28

not all shapes have the properties of that rectangle

Answer 29

the fact that i want you to draw into is any 4 sided gon have 360 as the total of all angles
meaning if i measure all it angles one by one and sum them up i get 360
any 4 sided gon

Answer 30

we start with 3 sided (triangle)
measure of all angles 180
4 sided gon: measure of all angles 360
5 sided gon measure of all angles 540
6 sided: 720
we follow this pattern...
we get for any polygon with n sides:
(n-2)x180
===============
so if we want the sum of all angles in 12 gon
what we do is (12-2)x180=10x180=1800

Answer 31

9 gon
(9-2)x180=7x180=1260
===
13 gon
(13-2)x180=11x180=1980

Answer 32

do you get it now

Answer 33

so 11 x 180 ?

Answer 34

no don't you see what i'm doing

Answer 35

read again ho through you are not payng attention

Answer 36

11 gon
(11-2)x180=9x180
11 take away 2 first then multiply by 180

Answer 37

ohhh now its starting to click

Answer 38

if it is what you did
for 3 gon (triangle)
you would have 3 times 180=540 which is false
we know in a triangle angles sum up to 180

Answer 39

ok test fr you!
what is the sum of angles in 14 gon

Answer 40

(14-2)x=180x12=2160 ???

Answer 41

yes!

Answer 42

good!
now i said that's the sum of all angle in a polygon
for this problem we need the measure of each angle
so we take that result and divide it by the number of sides

Answer 43

so in our case 11 gon
1620 is the result
we divide it by 11

Answer 44

we should get 147.27
this is the measure of each angle in that shape you have

Answer 45

so thats the answer

Answer 46

now to get the exterior angle
we know that angle on a straight line is 180
so what do we need to add to 147.27 to get 180

Answer 47

no not yet

Answer 48

we are looking for the exterior angle! not the interior

Answer 49

we found the interior so that we can find the exterior
because we know that the exterior angle and the interior are supplementary
meaning they add up to 180

Answer 50

if we know one we can get the other

Answer 51

get it?

Answer 52

starting to

Answer 53

hmm that's not satisfying answer! lol
so all my talk is not enough lol

Answer 54

no its helping

Answer 55

you could also do 360/n to find an exterior angle measurement of a n-gon

Answer 56

a regular n-gon of course

Answer 57

yeah that's all permissible!

Answer 58

i'm using this method becausee it beneficial for non regular too for the asker

Answer 59

Oh I wasn't trying to put down your method or anything
I was just giving another way to do it

Answer 60

oh no didn't feel down :) don't worry
i like to see different ways

Answer 61

so 147.27+x=180
can you solve for x here @senpai_yerm

Answer 62

by the way we can use that as the formula to find a exterior angle of a regular n-gon because the sum of the exterior angles of any polygon is 360 deg
and since we know a regular n-gon has the same exterior angles all the way around than we know each will have measure 360/n

Answer 63

true :)

Answer 64

32.73 ?

Answer 65

yes!

Answer 66

here we need to round that nearest tenth

Answer 67

then u round up to 33 ?

Answer 68

yes!

Answer 69

!$#@&% yeaa thankyou

Answer 70

np!

Answer 71

im just REALLYY slow at math

Answer 72

it's okay! as long as you understand

Answer 73

dam we spent almost an hour on this dam question... thanx for your patience

Answer 74

no problem!