Answer :
Option B
The sum of the measures of the exterior angles of a 53 - gon is 360 degrees
Solution:
The formula for sum of exterior angles "n" is:
[tex]N = 180n-180(n-2)[/tex]
Distribute 180
[tex]N = 180n - 180n + 360\\\\N = 360[/tex]
Therefore, sum of measure of exterior angles is 360 degrees
Sum of the measures of all the exterior angles of any polygon, irrespective of its number of sides is always 360 degrees
Thus, in a 53 gon, sum of measure of exterior angles is 360 degrees