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30 November, 15:23

What is the sum of the interior angles of a 24 sided regular polygon? Show your work.

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  1. 30 November, 17:29
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    3,960 degrees

    Step-by-step explanation:

    The sum of interior angles of a polygon can be found using:

    S = (n - 2) * 180

    where s is the sum, and n is the number of sides.

    This is a 24 sided polygon. Therefore, substitute 24 in for n (number of sides).

    S = (24 - 2) * 180

    Subtract inside the parentheses first

    S = (22) * 180

    Multiply 22 and 180

    S=3960

    The sum of the interior angles of a 24 sided polygon is 3,960 degrees
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