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23 August, 22:56

Each interior angle of a regular polygon measures 120°. what is the name of the polygon?

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  1. 23 August, 23:04
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    The total angel of any polygons is (n as the totap side of the polygon)

    (n - 2) x 180°

    now we can substitute 120° into this formula

    (n - 2) x 180° / n = 120° (because we're calculating each angle from the polygon, so we need to divide the equation by n)

    (180n - 360) = 120n

    180n - 120n = 360

    60n = 360

    n = 6

    a 6 side polygon is hexagon.
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