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Calumworthy18052
Calumworthy18052 Calumworthy18052
  • 24-02-2017
  • Mathematics
Answered

each interior angle of the regular n-gon has a measure of 140

Verified Answer :

redfirearne
redfirearne redfirearne
  • 27-02-2017

Sum of internal angles of any polygon is: (n-2)x180
So measure of an interior edge is ( ( n - 2 ) x 180 ) / n = 140
So 140n = 180n - 360
40n = 360
n = 9
So it's a nonagon.

Hope this helps :)

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