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10 October, 11:44

The sum of the interior angles of a polygon is 8280°.

How many sides does the polygon have?

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Answers (2)
  1. 10 October, 12:23
    0
    The side will = to 48
  2. 10 October, 12:30
    0
    The equation to find the sum of interior angles of a n-sided polygon is:

    (n - 2) * 180

    So, we don't know what n is but we can make it look like this:

    (n - 2) * 180 = 8,280

    Solve for n.

    (n - 2) * 180 = 8,280

    ~Divide 180 to both sides

    (n - 2) * 180/180 = 8,280/180

    ~Simplify

    n - 2 = 46

    ~Add 2 to both sides

    n - 2 + 2 = 46 + 2

    ~Simplify

    n = 48

    Therefore, the polygon has 48 sides.

    Best of Luck!
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