Question

find the measure of each exterior angle of a regular polygon of 14 sides​

Answer 1

Answer:

we know that

sum of all exterior angle of a regular polygon is 360

measure of each exterior angle=360/14 =25.71°

Answer 2

Concept:

We will first recall the concept of regular polygon of Geometry to solve this question.

A Regular Polygon is a closed curve Consists of line segments such that no two of them intersect.

The measure of an exterior angle of a regular polygon

                                                     = $\frac{sum\; of \; exterior\; angles\; of \;a \;polygon}{number\;of \;sides\; of\; polygon}$           (1)

Given:

A regular polygon with 14 sides

i.e. n=14 sides where n is the number of sides

To find:

Measure of each exterior angle of the polygon

Solution:

             Sum of exterior angles of a polygon = $360^{0}$

                       Number of sides of a polygon =14

Using the formula given by equation (1):

Measure of each exterior angle of a polygon = $\frac{360^{0}}{14}$

                                                                           =$25.71^{0}$

Hence, Measure of each exterior angle is given by: $25.71^{0}$