Math

Miles said that he measured an angle of a regular polygon to be 130 degress. Explain why this result is impossible.

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  1. For a regular n-gon, the sum of the interior angles is
    180(n-2)
    so each angle is 180(n-2)/n
    to have 180(n-2)/n =130
    180n - 360 = 130n
    50n = 360
    n = 7.2

    but n has to be a whole number, can't have a partial side.

    so the situation is not possible

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