Find the measure of each interior and exterior angle of regular polygon of 12 sides
Answers
Answered by
180
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.
Answered by
39
Given:
A polygon of 12 sides
To Find:
Find the measure of each interior and exterior angle
Solution:
To find the measure of each interior angle and exterior we can use formulas as follows,
For exterior angle, the total sum of an exterior angle of a polygon is always 360 degrees so the measure of one exterior angle will be 360/n where n is no of sides of a polygon,
For interior angle, the total sum of all interior angles will be 180*(n-2) where n is the no of sides of a polygon, so the measure of each interior angle will be (n-2)180/n
Hence, the measure of each interior angle and exterior angle of a 12 sided polygon will be 150 and 30 degrees respectively.
Similar questions