Calculate the number of sides of a regular polygon whose exterior angles are each , a=9°, b=30° c=24° d=22.5°?

Answer 1

To calculate the number of sides of a regular polygon, we can use the formula:

Number of sides (n) = 360° / Exterior angle

Let's find the number of sides for each given exterior angle:

a = 9°: n_a = 360° / 9° = 40 sides b = 30°: n_b = 360° / 30° = 12 sides c = 24°: n_c = 360° / 24° = 15 sides d = 22.5°: n_d = 360° / 22.5° = 16 sides

So, the number of sides for each given exterior angle are: a = 40 sides b = 12 sides c = 15 sides d = 16 sides