SOLUTION: What is the sum of the measures of the exterior angles of a 13-gon and a 14-gon? and thank you soooo much if you can help me!! :)

Algebra ->  Polygons -> SOLUTION: What is the sum of the measures of the exterior angles of a 13-gon and a 14-gon? and thank you soooo much if you can help me!! :)      Log On


   



Question 132980: What is the sum of the measures of the exterior angles of a 13-gon and a 14-gon?
and thank you soooo much if you can help me!! :)

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Exterior : 360 degrees
... Proof:
Interior sum is 180(n - 2)
Each angle (averaged) is 180(n - 2)/n
n( 180 - 180(n - 2)/n )
n( 180(1 - (n - 2)/n) )
n( 180(1 + (-n + 2)/n) )
n( 180(n/n + (-n + 2)/n) )
n( 180(2/n) )
n( 360/n )
360