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anonymous

  • one year ago

Please help!!!!! MEDAL AND FAN!!!!!

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  1. anonymous
    • one year ago
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    This is the first picture

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  2. anonymous
    • one year ago
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    This is the second one.

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  3. anonymous
    • one year ago
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    sum of exterior angles of a polygon=360

  4. welshfella
    • one year ago
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    this is a heptagon - with 7 sides formula for number of measure of angles in an n sided polygon = 180(n -2) So plug on n = 7 and you can calculate the total measure of degrees then you can find value of x

  5. anonymous
    • one year ago
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    So 7-2=5*180=900

  6. anonymous
    • one year ago
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    Is the right?

  7. welshfella
    • one year ago
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    right

  8. welshfella
    • one year ago
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    so add up the measures of the 6 angles given and subtract form 900

  9. anonymous
    • one year ago
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    900-789=111

  10. welshfella
    • one year ago
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    yes

  11. anonymous
    • one year ago
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    So number one is 111degrees

  12. anonymous
    • one year ago
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    How do I the rest

  13. anonymous
    • one year ago
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    @Vocaloid

  14. anonymous
    • one year ago
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    @freckles please help

  15. Michele_Laino
    • one year ago
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    other questions are similar, you have to use this formula: \[\Large s = \left( {n - 2} \right) \times 180\] in order to compute the sum of the interior angles of a polygon

  16. Michele_Laino
    • one year ago
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    where n is the number of sides of your polygon, as @welshfella has written before

  17. anonymous
    • one year ago
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    So I type in the number of sides that the question says?

  18. Michele_Laino
    • one year ago
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    yes! for example, let's study exercise #5 the sum of interior angles is: \[\Large s = \left( {8 - 2} \right) \times 180 = 1080\] then each interior angle measures this: \[\Large \frac{{1080}}{8} = 135\]

  19. anonymous
    • one year ago
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    but how would I find the exterior

  20. Michele_Laino
    • one year ago
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    the exterior angle is the supplementary angle of the corresponding interior angle: |dw:1440016538135:dw|

  21. anonymous
    • one year ago
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    Ok..... but how do I know how many degrees the angle is

  22. Michele_Laino
    • one year ago
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    for example, let's study exercise #6 since from exercise #5 we know that the measure of each interior angle is 135 degrees, then the measure of the corresponding exterior angle is: 180-135= 45 degrees

  23. Michele_Laino
    • one year ago
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    |dw:1440016841979:dw|

  24. anonymous
    • one year ago
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    3. 90 5. 135 7. 144 9. 150 Is that correct?

  25. Michele_Laino
    • one year ago
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    yes! correct!

  26. anonymous
    • one year ago
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    Ok..... I'm going to attempt to do the exterior ones

  27. Michele_Laino
    • one year ago
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    ok!

  28. anonymous
    • one year ago
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    I'm sorry if these answers are incorrect. 4. 90 6. 45 8. 36 10. 30

  29. Michele_Laino
    • one year ago
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    that's right!

  30. anonymous
    • one year ago
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    How do I do number 2?

  31. Michele_Laino
    • one year ago
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    you have to compute the supplementary angle of each interior angle, then you have to sum those new angles. For example: the corresponding exterior angle of the interior angle of 108 is: 180 -108 =72 the corresponding exterior angle of the angle of 133 is: 180-133= 47 and so on, please complete

  32. anonymous
    • one year ago
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    So I get all of the exterior angles and add them?

  33. Michele_Laino
    • one year ago
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    180-140=... 180-155=... 180-135=.. 180-1118=... 180-111=... since x=111

  34. Michele_Laino
    • one year ago
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    yes!

  35. Michele_Laino
    • one year ago
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    oopss. 180-118, not 180-1118

  36. anonymous
    • one year ago
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    180-140=40 180-155=25 180-135=45 180-118=62 180-111=69

  37. Michele_Laino
    • one year ago
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    ok! now what is: 40+25+62+69+47+72=...?

  38. anonymous
    • one year ago
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    180-133=47 180-108=78

  39. Michele_Laino
    • one year ago
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    yes! oops... what is 40+25+45+62+69+47+72=...? in other words you have to compute the corresponding sum

  40. anonymous
    • one year ago
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    366

  41. Michele_Laino
    • one year ago
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    are you sure?

  42. anonymous
    • one year ago
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    yes

  43. Michele_Laino
    • one year ago
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    I got this: 40+25+45+62+69+47+72=360

  44. anonymous
    • one year ago
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    Oh ok lol. I was adding 78 not 72

  45. Michele_Laino
    • one year ago
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    ok! :)

  46. anonymous
    • one year ago
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    So the answer is 360?

  47. Michele_Laino
    • one year ago
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    yes!

  48. anonymous
    • one year ago
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    I know that I have a ton of questions and I'm sorry lol. But how do I do 11 to 14?

  49. Michele_Laino
    • one year ago
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    since each interior angle is 120 degrees, then the sum of all interior angles is: 120*n being n the numbers of interior angles, am I right?

  50. anonymous
    • one year ago
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    Idk. I'm sorry. I'm a bit confused

  51. Michele_Laino
    • one year ago
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    we have n interior angles

  52. anonymous
    • one year ago
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    yes

  53. Michele_Laino
    • one year ago
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    each interior angle is 120 degrees

  54. Michele_Laino
    • one year ago
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    I'm referring to exercise #11

  55. Michele_Laino
    • one year ago
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    so the sum of all interior angles is: 120*n

  56. Michele_Laino
    • one year ago
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    n is a natural number which has to be determined

  57. anonymous
    • one year ago
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    Ok I understand so far

  58. Michele_Laino
    • one year ago
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    now, since our polygon has n interior angles, then it also has n sides

  59. Michele_Laino
    • one year ago
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    for example a hexagon has 6 interior angles and 6 sides

  60. Michele_Laino
    • one year ago
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    now I use the general formula for the sum of interior angles: \[\Large s = \left( {n - 2} \right) \times 180\] and I can write this: \[\Large \left( {n - 2} \right) \times 180 = 120 \times n\]

  61. Michele_Laino
    • one year ago
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    since, as we noted before, s=120*n

  62. anonymous
    • one year ago
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    yep

  63. Michele_Laino
    • one year ago
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    now I simplify the left side, so i get: \[\Large 180 \times n - 360 = 120 \times n\]

  64. Michele_Laino
    • one year ago
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    please solve for n

  65. anonymous
    • one year ago
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    6?

  66. Michele_Laino
    • one year ago
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    that's right!! :)

  67. Michele_Laino
    • one year ago
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    exercises #12, #13, and #14 are similar

  68. anonymous
    • one year ago
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    12. 9 13. 18 14. 20

  69. anonymous
    • one year ago
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    Is that correct?

  70. Michele_Laino
    • one year ago
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    yes! correct!!

  71. anonymous
    • one year ago
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    Thank a bunch!!! I thought I'd never understand those problems lol.

  72. Michele_Laino
    • one year ago
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    thanks! :)

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