Asked by Allison
Miles said that he measured an angle of a regular polygon to be 130 degress. Explain why this result is impossible.
Answers
Answered by
Reiny
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
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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