Answer:
Sum of interior angle of polygon with n sides : (n – 2) 180°.
Explanation:
Given : Polygon.
To find: The sum of the interior angles of an n-gon .
Solution : We have given polygon with n sides.
Sum of interior angle of polygon with n sides : (n – 2) 180°.
Example : Let the polygon with 4 sides like square.
Where , n= 4
Sum of interior angle = (4 – 2) 180°.
Sum of interior angle = 2 * 180°.
Sum of interior angle = 360°.
As we know that sum of angles of quadrilateral is 360°.
Therefore, Sum of interior angle of polygon with n sides : (n – 2) 180°.