Step 1:
The measure of each exterior angle of a regular polygon = 360/n,
where n is the number of sides of the polygon.
Step 2:
Pentagon is a 5 sided polygon, in other words n in this question is 5
Step 3:
We substitute 5 for n in the formula
360/5 = 72
Conclusion:
The measure of each exterior angle of a regular Pentagon is 72