Question:
The number of sides in a regular polygon having measure of an exterior angle as 72o is __________.
Solution:
The number of sides in a regular polygon having measure of an exterior angle as 72o is 5.
We know that, the measure of each exterior angle of a regular pentagon is 360o/n.
Where ‘n’ is the number of sides in the polygon,
Then, pentagon has exterior angle = 72o
So, 72o = 360o/n
n = 360o/72o
n = 5