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28Tylerr

  • 2 years ago

Find the sum of the measures of the interior angles of each convex polygon.

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  1. luck4u
    • 2 years ago
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    overall

  2. 28Tylerr
    • 2 years ago
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    Here is the question: 16-gon

  3. luck4u
    • 2 years ago
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    ???

  4. luck4u
    • 2 years ago
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    i dont know

  5. 28Tylerr
    • 2 years ago
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    It wants me to find the sum of a convex polygon and the polygon is a 16-gon

  6. 28Tylerr
    • 2 years ago
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    & I can't seem to figure it out.

  7. .Sam.
    • 2 years ago
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    Use the formula (n-2)*180

  8. 28Tylerr
    • 2 years ago
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    Ok, So would it be 16 in place of the n?

  9. .Sam.
    • 2 years ago
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    You will get 2520 degrees

  10. 28Tylerr
    • 2 years ago
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    Ok, But what number would I put in place of the n?

  11. .Sam.
    • 2 years ago
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    16

  12. 28Tylerr
    • 2 years ago
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    Alright thanks man, Can ya help me with a couple of more?

  13. .Sam.
    • 2 years ago
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    ok

  14. 28Tylerr
    • 2 years ago
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    My next one is: The measure of the interior angles of a regular polygon is given. Find the number of sides in the polygon.

  15. 28Tylerr
    • 2 years ago
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    Here is the question: 1980.

  16. .Sam.
    • 2 years ago
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    Sum of the angles is 1980?

  17. 28Tylerr
    • 2 years ago
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    I just got to find the polygon that has a number of sides of 1980.

  18. 28Tylerr
    • 2 years ago
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    Thats basically what it is.

  19. 28Tylerr
    • 2 years ago
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    ..Sam, Can ya help?

  20. .Sam.
    • 2 years ago
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    \[\frac{(n-2)\times180}{n}=\text{Each \angle inside the polygon}\] \[(n-2)\times180=\text{Sum of angles inside the polygon}\] ---------------------------------------------------------- So, \[(n-2)\times180=\text{Sum of angles inside the polygon}\] \[(n-2)\times180=1980\] n=13

  21. 28Tylerr
    • 2 years ago
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    Alright thanks, Can ya help with 4 more lol? Sorry man

  22. .Sam.
    • 2 years ago
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    post as a new question

  23. 28Tylerr
    • 2 years ago
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    Alright, Give me a min

  24. SmoothMath
    • 2 years ago
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    The equation is (180)(n-2), where n is the number of sides. Here's why: |dw:1334620067825:dw| The number of triangles that I can split the polygon up into, is n-2. Each triangle's interior angles sum to 180. How cool! =D

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