A regular polygon has an exterior angle of 7.5° how many sides does the polygon have?

48

The exterior angles in a polygon add up to 360°. If it is a regular polygon, each exterior angle is congruent.

Let s be the number of sides (and hence angles):
360°/s = 7.5°
s = 360/7.5
s = 48

Answer:
48 sides

360/7.5 = 48 sides

360° / 7.5° = 48