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One of them math problems

Discussion in 'Random Discussion' started by Big-K, Jan 24, 2005.

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  1. Big-K

    Big-K Thread Starter

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    Brain freeze. You have a regular n-gon. You know that all the interior angles are 144 degrees. What is the value of n?(n is the number of sides). Sofar I have 144n/n-2=180. I then simplified that to 144n=180n-360 by multiplying both sides by n-2 and distributing it on the right side. I can't seem to figure out where to go from here...
     
  2. DiSaidSo

    DiSaidSo

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  3. Big-K

    Big-K Thread Starter

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    I'll believe that, but that means that my formula is wrong, which is proven by the fact that it doesnt work on other problems either.
     
  4. DiSaidSo

    DiSaidSo

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    K~

    I really have no idea. My math is pretty rusty. What you said might as well have been in Japanese. ;)

    ~Di
     
  5. Big-K

    Big-K Thread Starter

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    damn
     
  6. Big-K

    Big-K Thread Starter

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    Alright, i'm sure my forumla is right, although i changed it to 144n=180(n-2)
     
  7. Raeli

    Raeli

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    144n=180n-360
    -144n, +360
    360=36n
    /36
    10=n

    I think.

    It's been a while.
     
  8. DiSaidSo

    DiSaidSo

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    Damn, Raeli. That was HOT! ;)
     
  9. Big-K

    Big-K Thread Starter

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    wow...that makes sense

    Now I gotta do that, but this time I get the measure of the EXterior angles
     
  10. Raeli

    Raeli

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    [​IMG]



    It's about time math did something for me other than balance my checkbook!
     
  11. Big-K

    Big-K Thread Starter

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    Thats what calculators are for. Calculators can't do geometry.
     
  12. LuckyStrike

    LuckyStrike

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    If you know the interior angle and want to solve for the number of sides, then:

    N=360/(180-A)

    Where N is the number of sides to the polygon and A is the interior angle between adjacent sides.

    If you know the number of sides and want to solve for the interior angle then:

    A=180-(360/N)

    These formulas are only valid for regular polygons, of course.
     
  13. jmosmith

    jmosmith

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    The sum of all the internal angles in any closed Polygon
    = (180 * # of sides) - 360

    The number of internal angles in any closed Polygon, is equal to the number of sides.

    If we let N="# of sides"
    Then the equation becomes:

    144*N = 180*N - 360

    Solving for N:

    360 = 180*N - 144*N
    360 = (180 - 144)*N
    360 = 36*N
    360/36 = N
    10 = N

    So I can CONFIRM Raeli's answer.

    If you look above, you will also see the derivation of the equations cited by LuckyStrike.

    Hope this helped

    Got any more???

    thanks,
    J :)
     
  14. Big-K

    Big-K Thread Starter

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    Yeah, I remembered later that the exterior angles of any polygon are always 360 degrees. I ended up finishing it perfectly.
     
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