Question:
The number of sides of a regular polygon, where each exterior angle has a measure of 36o, is __________.
Solution:
The number of sides of a regular polygon, where each exterior angle has a measure of 36o, is 10.
We know that, the measure of each exterior angle of a regular polygon is 360o/n.
Where ‘n’ is the number of sides in the polygon,
Then, exterior angle has a measure of 36o
So, 36o = 360o/n
n = 360o/36o
n = 10