Question

what is the sum of all interior angles of a 33 - sided regular polygon? 170° 180° 5,400° 5,580°

Explanation:

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

The formula for the sum of interior angles of a polygon is \((n - 2)\times180^{\circ}\), where \(n\) is the number of sides of the polygon.

Step2: Substitute \(n = 33\) into the formula

When \(n=33\), we have \((33 - 2)\times180^{\circ}\).
First, calculate \(33-2=31\).
Then, \(31\times180^{\circ}=5580^{\circ}\).

Answer:

5,580°