Question

The sum of the interior angles of an n-gon is ______. 90°(n - 2) 270°(n - 2) 180°(n - 2) 360°(n - 2)

Answer 1

Hi, the answer is 180°(n - 2) :)

Answer 2

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°.