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anonymous

  • one year ago

help again please

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    this time its a 11-gon

  3. xapproachesinfinity
    • one year ago
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    ok so 11 gon the angles are all equal the measure of each is (11-2) times 180

  4. xapproachesinfinity
    • one year ago
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    then the result +x =180

  5. xapproachesinfinity
    • one year ago
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    again the same principal okay

  6. anonymous
    • one year ago
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    okay

  7. xapproachesinfinity
    • one year ago
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    do the same we did !! let me seee your work

  8. anonymous
    • one year ago
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    so sum(11-2)180 is that how you substitute it

  9. xapproachesinfinity
    • one year ago
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    that's the sum of all angles is 11 gon

  10. xapproachesinfinity
    • one year ago
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    so the sum must be divided to 11 since they are all equal

  11. anonymous
    • one year ago
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    so first you find the sum then divide by 11 ?

  12. xapproachesinfinity
    • one year ago
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    yes!

  13. anonymous
    • one year ago
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    ok good, so how do you find the sum

  14. xapproachesinfinity
    • one year ago
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    i just showed (n-2)x180 is the sum of interior angles in any regular polygon no matter what is

  15. xapproachesinfinity
    • one year ago
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    here n=11 so (11-2)x180 is the total of all angles

  16. xapproachesinfinity
    • one year ago
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    Do you get what I'm saying?

  17. anonymous
    • one year ago
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    kinda losing ya

  18. xapproachesinfinity
    • one year ago
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    okay! what is the sum of interior angles in a quadrilateral?

  19. xapproachesinfinity
    • one year ago
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    with four sides?

  20. anonymous
    • one year ago
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    4

  21. xapproachesinfinity
    • one year ago
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    no i'm retriceing for the sum of all angles

  22. xapproachesinfinity
    • one year ago
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    im asking* (correction)

  23. xapproachesinfinity
    • one year ago
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    |dw:1435986516738:dw| sum of anlges in this

  24. anonymous
    • one year ago
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    4?

  25. xapproachesinfinity
    • one year ago
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    no that's the number of sides

  26. xapproachesinfinity
    • one year ago
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    i'm asking angles do you know what an angles is ?

  27. anonymous
    • one year ago
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    wait is it 90 x 4

  28. xapproachesinfinity
    • one year ago
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    yes 90x4=360 but this does not work all the time only when the angles are 90 degree

  29. xapproachesinfinity
    • one year ago
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    not all shapes have the properties of that rectangle

  30. xapproachesinfinity
    • one year ago
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    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

  31. xapproachesinfinity
    • one year ago
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    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

  32. xapproachesinfinity
    • one year ago
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    9 gon (9-2)x180=7x180=1260 === 13 gon (13-2)x180=11x180=1980

  33. xapproachesinfinity
    • one year ago
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    do you get it now

  34. anonymous
    • one year ago
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    so 11 x 180 ?

  35. xapproachesinfinity
    • one year ago
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    no don't you see what i'm doing

  36. xapproachesinfinity
    • one year ago
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    read again ho through you are not payng attention

  37. xapproachesinfinity
    • one year ago
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    11 gon (11-2)x180=9x180 11 take away 2 first then multiply by 180

  38. anonymous
    • one year ago
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    ohhh now its starting to click

  39. xapproachesinfinity
    • one year ago
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    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

  40. xapproachesinfinity
    • one year ago
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    ok test fr you! what is the sum of angles in 14 gon

  41. anonymous
    • one year ago
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    (14-2)x=180x12=2160 ???

  42. xapproachesinfinity
    • one year ago
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    yes!

  43. xapproachesinfinity
    • one year ago
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    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

  44. xapproachesinfinity
    • one year ago
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    so in our case 11 gon 1620 is the result we divide it by 11

  45. xapproachesinfinity
    • one year ago
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    we should get 147.27 this is the measure of each angle in that shape you have

  46. anonymous
    • one year ago
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    so thats the answer

  47. xapproachesinfinity
    • one year ago
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    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

  48. xapproachesinfinity
    • one year ago
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    no not yet

  49. xapproachesinfinity
    • one year ago
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    we are looking for the exterior angle! not the interior

  50. xapproachesinfinity
    • one year ago
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    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

  51. xapproachesinfinity
    • one year ago
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    if we know one we can get the other

  52. xapproachesinfinity
    • one year ago
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    get it?

  53. anonymous
    • one year ago
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    starting to

  54. xapproachesinfinity
    • one year ago
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    hmm that's not satisfying answer! lol so all my talk is not enough lol

  55. anonymous
    • one year ago
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    no its helping

  56. freckles
    • one year ago
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    you could also do 360/n to find an exterior angle measurement of a n-gon

  57. freckles
    • one year ago
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    a regular n-gon of course

  58. xapproachesinfinity
    • one year ago
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    yeah that's all permissible!

  59. xapproachesinfinity
    • one year ago
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    i'm using this method becausee it beneficial for non regular too for the asker

  60. freckles
    • one year ago
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    Oh I wasn't trying to put down your method or anything I was just giving another way to do it

  61. xapproachesinfinity
    • one year ago
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    oh no didn't feel down :) don't worry i like to see different ways

  62. xapproachesinfinity
    • one year ago
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    so 147.27+x=180 can you solve for x here @senpai_yerm

  63. freckles
    • one year ago
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    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

  64. xapproachesinfinity
    • one year ago
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    true :)

  65. anonymous
    • one year ago
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    32.73 ?

  66. xapproachesinfinity
    • one year ago
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    yes!

  67. xapproachesinfinity
    • one year ago
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    here we need to round that nearest tenth

  68. anonymous
    • one year ago
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    then u round up to 33 ?

  69. xapproachesinfinity
    • one year ago
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    yes!

  70. anonymous
    • one year ago
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    !$#@&% yeaa thankyou

  71. xapproachesinfinity
    • one year ago
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    np!

  72. anonymous
    • one year ago
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    im just REALLYY slow at math

  73. xapproachesinfinity
    • one year ago
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    it's okay! as long as you understand

  74. anonymous
    • one year ago
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    dam we spent almost an hour on this dam question... thanx for your patience

  75. xapproachesinfinity
    • one year ago
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    no problem!

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