If the sum of the interior angle of a polygon is 2700 how many sides does the polygon have??

Question

If the sum of the interior angle of a polygon is 2700 how many sides does the polygon have??

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Hồng Cúc 4 years 2021-08-27T13:05:03+00:00 2 Answers 31 views 0

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  1. thienhuong
    0
    2021-08-27T13:06:29+00:00
    Reply

    Answer:  17 sides

    =================================================

    Work Shown:

    S = sum of all interior angles of a polygon

    S = 180(n-2)

    2700 = 180(n-2)

    180(n-2) = 2700

    n-2 = 2700/180

    n-2 = 15

    n = 15+2

    n = 17

    There are 17 sides to this polygon.

    ————————-

    Extra info (optional section):

    We call this a 17-gon. Simply start with “n-gon” and replace n with 17.

    You could also call it a heptadecagon

    hepta = 7

    deca = 10

    so heptadeca means 17. Personally, I prefer 17-gon as the better name since it’s easier to remember.

  2. ngockhue
    0
    2021-08-27T13:07:01+00:00
    Reply

    17 side how many sides does a polygon have if the sum of its angle measures is 2700. So there are 17 sides. Answer

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