Question

what is the sum of the interior angles of the polygon pictured below? answer attempt 1 out of 2 submit answer

Explanation:

Step1: Determine the number of sides

Count the vertices (numbered from 1 to 23), so the polygon has \( n = 23 \) sides.

Step2: Use the formula for the sum of interior angles

The formula for the sum of the interior angles of a polygon is \( S=(n - 2)\times180^\circ \), where \( n \) is the number of sides. Substitute \( n = 23 \) into the formula: \( S=(23 - 2)\times180^\circ \).

Step3: Calculate the result

First, calculate \( 23-2 = 21 \). Then, \( 21\times180^\circ=3780^\circ \).

Answer:

\( 3780 \)