Polygon is the word which is derived from the Greek language which is nothing but the 2- dimensional closed plane figure .It is formed using the line segments which are termed as sides or edges. Depending on the number of sides, the polygons are classified as:triangle(3 sides), quadrilateral(4 sides), pentagon(5 sides), hexagon (6 sides) and so on. Thus, Hexagon can be defined as the closed polygon with six sides having interior and exterior angles.
The Interior angle of a polygon can be defined as the angle which constitute to form inside the 2 -dimensional shape.The sum of interior and exterior angles together add to 180 degrees.From the figure below, the interior angle which is inside equal to 30 degrees.
Sum of interior angles of a Regular Polygon:
The interior angle also depends on the type of polygon, whether it is regular or irregular. For a regular polygon all the interior angles are same , but for irregular polygon they are different.The general formula for finding sum of interior angles of a regular polygon is:
sum = 180* (n-2) degrees, where 'n' is number of sides
Now , for a regular hexagon, which has six number of sides i,e n=6
sum of interior angles of regular hexagon = 180 (n-2) =180* (6-2) = 180 (4) = 720 degrees.
Hence, from this the sum of interior angles depends only on number of sides 'n' .
Each individual interior angle can be calculated using:
180*`(n-2)/(n)` degrees,where 'n' is number of sides of a polygon .
For regular Hexagon (n=6) each interior angle = 180 * `(6-2)/(6)` = 180 * `(4)/(6)` = 30*4 = 120
Now ,we can recheck from this , that sum of interior angles of a regular hexagon = 120+120+120+120+120+120= 720 degrees.
These formulae would be applicable only in the case of Regular Hexagon , but not for irregular Hexagon.