Question

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

Answer 1

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