Question

how many sides does a regular polygon have if the measure of an exterior angle is 24 degree​

Answer 1

Answer:

Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.

Answer 2

Answer:

Let no of sides is n.

Enterior angle =180-24=156 degree

n*180=156*n+360

24n=360

n=15

Step-by-step explanation:

Total no of n triangles will form in polygon whose all angle sum will 180*n.

Which will also equall to sum of total interior angle and 360degree at Centre.