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10 August, 11:26

If the sum of interior angles measures of a polygon is 720 degrees, how many sides does the polygon have?

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Answers (2)
  1. 10 August, 11:42
    0
    The polygon has six (6) sides.

    Step-by-step explanation:

    We recall that the formula for the sum of the interior angles in a polygon is:

    180° (n - 2)

    Where n = number of sides

    Since from the sum of the interior angles of the polygon is 720°

    Then:

    720° = 180° (n - 2)

    We then solve for n

    Divide both sides by 180°

    720°/180° = 180° (n - 2) / 180°

    4 = n - 2

    n = 4 + 2

    n = 6

    Therefore the number of sides of the polygon is 6 making it a hexagon.
  2. 10 August, 11:49
    0
    6

    Step-by-step explanation:

    The ASP of a hexagon is 720 degrees
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