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8 October, 15:15

Which regular polygon would have each of its interior angles measure 140°?

nonagon

heptagon

octagon

decagon

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  1. 8 October, 15:41
    0
    Nonagon

    Sum of the angles of a polygon is (n-2) * 180

    Each angle is (n-2) * 180/n

    140 = (n-2) * 180/n

    140n = 180n - 360

    -40n = - 360

    n = 9
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