Question

Find the measure of each exterior angle of regular polygon with
a. 12 side​

Answer 1

Answer:

No matter the shape, a regular polygon can have its exterior angles add to no more than 360°. Think: to go around the shape, you make a complete circle: 360°. So, divide 360° by the dodecagon's twelve exterior angles. Each exterior angle is 30°

Answer 2

Answer:

Since the regular polygon has 12 sides, there will be 12 isosceles triangles at the center of the circle circumscribing the polygon.

Each of these angles at the center will be

360/12 or 30 degrees.

The other two angles will be

(180 - 30)/2 = 150/2 = 75 degrees.

The exterior angle will be an angle of 180 - 75 -75 or 30 degrees.