Question

1. what is the formula to calculate the sum of interior angles of a polygon?

a. $s = n \times 180^{\circ}$
b. $s = (n - 2) \times 180^{\circ}$
c. $s = n \times 90^{\circ}$
d. $s = (n + 2) \times 90^{\circ}$

Explanation:

The formula for the sum of interior angles of a polygon is derived by dividing the polygon into \((n - 2)\) triangles (where \(n\) is the number of sides of the polygon). Since the sum of angles in a triangle is \(180^{\circ}\), the sum of interior angles \(S=(n - 2)\times180^{\circ}\).

Answer:

B. \(S=(n - 2)\times180^{\circ}\)