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Ymorist [56]
3 years ago
13

 The sum of the measures of the exterior angles of a regular 5-gon, one at each vertex, is __________ the sum of the measures of

the exterior angles of a regular 9-gon, one at each vertex.
less than 
equal to
greater than
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0
The exterior angles of a regular pentagon has a measure of 360-108= 252 degrees

the sum of these exterior angles will be 5*252=1260 degrees 

a regular nonagon (9-gon) has the exterior angles measure of 360 -140 = 220 degrees 

the sum of these exterior angles of a nonagon will be equal 9*220=1980 degrees 

so from these result that 

the sum of the measures of the exterior angles of a regular 5-gon is less than the sum of the measures of the exterior angles of a 9-on 

hope this will help you 
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