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Find the measure of an exterior angle in a regular 21-gon.

 Nov 20, 2015
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Find the measure of an exterior angle in a regular 21-gon.

 

3 sides     180 degrees total

4 sides      180(4-2)

5 sides       180(5-2)

 

n sides angle sum is 180(n-2)

21 sides angle sum is 180(21-2) = 180*19 = 3420

each angle in a regular 21-gon will be           3420/21 = 162.8571429 degrees  (apprrox)

external angle = 360 - 162.8571429 =  197.1428571degrees = 197 degrees 8 minutes and 34.29 seconds approximately

 Nov 21, 2015

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