Question

find the measure of each exterior angle of a regular polygon having 12 sides​

Answer 1

The total interior angle of a 12 sided polygon is = (12 - 2) 180 degrees = 1800 degrees.

The internal angle at each vertex of an regular dodecagon is equal to = = 150 degrees.

While the exterior angle at a single vertex is = = 30 degrees.

The total exterior angle of a 12 sided polygon is 360 degrees.

Answer 2

In the case of 12 sides, 180-30= 15 degrees . any convex polygon has a sum of exterior angles of 360 degrees.