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Hi, the answer is 180°(n - 2) :)

Answer:

Sum of interior angle of polygon with n sides : (n – 2) 180°.

Step-by-step 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°.