Question

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

Explanation:

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

The sum of interior angles of an \(n -\)sided polygon is \((n - 2)\times180^{\circ}\).

Step2: Find the measure of each interior angle

Since there are \(n\) interior angles in an \(n -\)sided polygon, the measure of each interior angle is \(\frac{(n - 2)\times180^{\circ}}{n}=(n - 2)\times180^{\circ}\div n\).

Answer:

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