Respuesta :
Answer:
21.715 degrees
Step-by-step explanation:
There are 14 vertexes (vertices) for a 14-gon. It is 'regular' so all these angles are equal. So the exterior angle of each is 180-154.285 = 21.715 degrees.
The measure of the exterior angle in a regular 14 sided polygons is 25.72 degree.
What is a regular polygon?
A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We have 14 sides polygon.
We know the sum of the interior angle = (n-2)×180
n is the number of sides
Here n = 14
The sum of the interior angle = (14-2)×180 = 2160 degree
Each interior angle = 2160/14 = 154.285
Measure of the exterior angle = 180 – 154.285 = 25.715 ≈ 25.72 degree
Thus, the measure of the exterior angle in a regular 14 sided polygons is 25.72 degree.
Learn more about the regular polygon here:
brainly.com/question/11810316
#SPJ2
