Which expression provides the sum of all the interior angles

Which expression provides the sum of all the interior angles a polygon with n sides? (n - 2) middot 180 degree n - 2 middot 180 degree n middot 360 degree n middot 180 degree

Solution

We know that if a polygon has ‘n’ sides, then it is divided into (n – 2) triangles.

We also know that, the sum of the angles of a triangle = 180°.

Therefore, the sum of the angles of (n – 2) triangles = 180 × (n – 2)