How many angles would a regular polygon have if each exterior angle measures 5 degrees?
Each exterior angle of a regular polygon is equal to 360/n degrees, where n is the number of sides or angles of the polygon. If each exterior angle measures 5 degrees, we can set up the equation:
360/n = 5
Solving for n, we get:
n = 360/5
n = 72
Therefore, a regular polygon with each exterior angle measuring 5 degrees would have 72 angles or sides.