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13 November, 22:59

If the sum of interior angle is 3780 degree. find the number of sides

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  1. 13 November, 23:10
    0
    The sum of the interior angles of a polygon is.

    Sum = 180 (n-2) where n is the number of sides

    Thus 180 (n-2) = 3780

    n-2=3780/180 = 21

    ⇒ n = 21+2 = 23

    number of sides is 23
  2. 13 November, 23:24
    0
    Sum of interior angles of n sided polygon = (n - 2) * 180

    (n - 2) 180 = 3780

    180n - 360 = 3780

    180n = 4140

    n = 4140 / 180 = 23 sides Answer
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