Question

what is the formula for calculating the sum of interior angles of an n - sided polygon?
a. n × 90°
b. n × 180°
c. (n - 2) × 180°
d. (n + 2) × 180°

Explanation:

Step1: Analyze the formula for the sum of interior angles of a polygon

The sum of interior angles of a polygon can be derived by dividing the polygon into triangles. For an \(n -\)sided polygon, the number of triangles formed is \((n - 2)\).

Step2: Calculate the sum of interior angles

Since the sum of angles in a triangle is \(180^{\circ}\), the sum of interior angles of an \(n -\)sided polygon is \((n - 2)\times180^{\circ}\).

Answer:

C. \((n - 2)\times180^{\circ}\)