anonymous
  • anonymous
help again please
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
this time its a 11-gon
xapproachesinfinity
  • xapproachesinfinity
ok so 11 gon the angles are all equal the measure of each is (11-2) times 180

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xapproachesinfinity
  • xapproachesinfinity
then the result +x =180
xapproachesinfinity
  • xapproachesinfinity
again the same principal okay
anonymous
  • anonymous
okay
xapproachesinfinity
  • xapproachesinfinity
do the same we did !! let me seee your work
anonymous
  • anonymous
so sum(11-2)180 is that how you substitute it
xapproachesinfinity
  • xapproachesinfinity
that's the sum of all angles is 11 gon
xapproachesinfinity
  • xapproachesinfinity
so the sum must be divided to 11 since they are all equal
anonymous
  • anonymous
so first you find the sum then divide by 11 ?
xapproachesinfinity
  • xapproachesinfinity
yes!
anonymous
  • anonymous
ok good, so how do you find the sum
xapproachesinfinity
  • xapproachesinfinity
i just showed (n-2)x180 is the sum of interior angles in any regular polygon no matter what is
xapproachesinfinity
  • xapproachesinfinity
here n=11 so (11-2)x180 is the total of all angles
xapproachesinfinity
  • xapproachesinfinity
Do you get what I'm saying?
anonymous
  • anonymous
kinda losing ya
xapproachesinfinity
  • xapproachesinfinity
okay! what is the sum of interior angles in a quadrilateral?
xapproachesinfinity
  • xapproachesinfinity
with four sides?
anonymous
  • anonymous
4
xapproachesinfinity
  • xapproachesinfinity
no i'm retriceing for the sum of all angles
xapproachesinfinity
  • xapproachesinfinity
im asking* (correction)
xapproachesinfinity
  • xapproachesinfinity
|dw:1435986516738:dw| sum of anlges in this
anonymous
  • anonymous
4?
xapproachesinfinity
  • xapproachesinfinity
no that's the number of sides
xapproachesinfinity
  • xapproachesinfinity
i'm asking angles do you know what an angles is ?
anonymous
  • anonymous
wait is it 90 x 4
xapproachesinfinity
  • xapproachesinfinity
yes 90x4=360 but this does not work all the time only when the angles are 90 degree
xapproachesinfinity
  • xapproachesinfinity
not all shapes have the properties of that rectangle
xapproachesinfinity
  • xapproachesinfinity
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
xapproachesinfinity
  • xapproachesinfinity
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
xapproachesinfinity
  • xapproachesinfinity
9 gon (9-2)x180=7x180=1260 === 13 gon (13-2)x180=11x180=1980
xapproachesinfinity
  • xapproachesinfinity
do you get it now
anonymous
  • anonymous
so 11 x 180 ?
xapproachesinfinity
  • xapproachesinfinity
no don't you see what i'm doing
xapproachesinfinity
  • xapproachesinfinity
read again ho through you are not payng attention
xapproachesinfinity
  • xapproachesinfinity
11 gon (11-2)x180=9x180 11 take away 2 first then multiply by 180
anonymous
  • anonymous
ohhh now its starting to click
xapproachesinfinity
  • xapproachesinfinity
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
xapproachesinfinity
  • xapproachesinfinity
ok test fr you! what is the sum of angles in 14 gon
anonymous
  • anonymous
(14-2)x=180x12=2160 ???
xapproachesinfinity
  • xapproachesinfinity
yes!
xapproachesinfinity
  • xapproachesinfinity
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
xapproachesinfinity
  • xapproachesinfinity
so in our case 11 gon 1620 is the result we divide it by 11
xapproachesinfinity
  • xapproachesinfinity
we should get 147.27 this is the measure of each angle in that shape you have
anonymous
  • anonymous
so thats the answer
xapproachesinfinity
  • xapproachesinfinity
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
xapproachesinfinity
  • xapproachesinfinity
no not yet
xapproachesinfinity
  • xapproachesinfinity
we are looking for the exterior angle! not the interior
xapproachesinfinity
  • xapproachesinfinity
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
xapproachesinfinity
  • xapproachesinfinity
if we know one we can get the other
xapproachesinfinity
  • xapproachesinfinity
get it?
anonymous
  • anonymous
starting to
xapproachesinfinity
  • xapproachesinfinity
hmm that's not satisfying answer! lol so all my talk is not enough lol
anonymous
  • anonymous
no its helping
freckles
  • freckles
you could also do 360/n to find an exterior angle measurement of a n-gon
freckles
  • freckles
a regular n-gon of course
xapproachesinfinity
  • xapproachesinfinity
yeah that's all permissible!
xapproachesinfinity
  • xapproachesinfinity
i'm using this method becausee it beneficial for non regular too for the asker
freckles
  • freckles
Oh I wasn't trying to put down your method or anything I was just giving another way to do it
xapproachesinfinity
  • xapproachesinfinity
oh no didn't feel down :) don't worry i like to see different ways
xapproachesinfinity
  • xapproachesinfinity
so 147.27+x=180 can you solve for x here @senpai_yerm
freckles
  • freckles
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
xapproachesinfinity
  • xapproachesinfinity
true :)
anonymous
  • anonymous
32.73 ?
xapproachesinfinity
  • xapproachesinfinity
yes!
xapproachesinfinity
  • xapproachesinfinity
here we need to round that nearest tenth
anonymous
  • anonymous
then u round up to 33 ?
xapproachesinfinity
  • xapproachesinfinity
yes!
anonymous
  • anonymous
!$#@&% yeaa thankyou
xapproachesinfinity
  • xapproachesinfinity
np!
anonymous
  • anonymous
im just REALLYY slow at math
xapproachesinfinity
  • xapproachesinfinity
it's okay! as long as you understand
anonymous
  • anonymous
dam we spent almost an hour on this dam question... thanx for your patience
xapproachesinfinity
  • xapproachesinfinity
no problem!

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