Question

One angle of a regular polygon is 168°. How many sides does it have?​

Answer 1

30 sides

We can use the fact that the sum of the exterior angles is always 360. If the interior angle is 168, then the exterior angle is 180 - 168, or 12. The 360 degrees is evenly distributed over all of the angles, so 360/12 = 30 sides.

Answer 2

30 sides

If each interior angle of a regular polygon = 168 deg, then each exterior angle = 180–168 = 12 deg. So the regular polygon has 360/12 = 30 sides.