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27 February, 12:40

How many sides does a polygon have if the sum of its interior angles is 1,260º?

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Answers (2)
  1. 27 February, 12:49
    0
    one angle = 360 / n

    Let x be the angle and n be the number of sides.

    x = 360 / n

    nx = 360

    now, let's use this:

    (2n - 4) * 90 = 1260

    2n - 4 = 1260 / 90

    2n - 4 = 42 / 3

    2n - 4 = 14

    2n = 18

    n = 9

    x = 360 / 9

    x = 40 degrees for each exterior angle

    so the interior angle's measurement is 140 degrees

    So 9 would be the answer
  2. 27 February, 13:01
    0
    If a polygon have the sum of its interior angles is 1,260 it has to be 5 sides
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