Question

find the measure of each exterior angle of a regular polygon having
(a) 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 = 1800 = 150 degrees. ... The total exterior angle of a 12 sided polygon is 360 degrees

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Answer 2

Answer: 30 °

Step-by-step explanation:

All exterior angle of regular polygon is equal and ts sum is 360°.

Hence,

Value of exterior angle of regular polygon = $\frac{360}{n}$

Where n is number of sides.

Measure of each exterior angle of 12 sided regular polygon = $\frac{360}{12}$ = 30°