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18 June, 09:53

Each interior angle of a regular n-sided polygon is 150 degrees. How many sides does the polygon have?

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  1. 18 June, 09:56
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    The sum of the interior angles of the polygon = (n - 2) x 180.

    (n - 2) x 180 = (n x 150)

    180n - 360 = 150n

    Add 360 to each side:

    180n = 150n + 360

    Subtract 150n from each side:

    30n = 360

    Divide each side by 30:

    n = 12
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