Question

1. what is the sum of the interior angles of a polygon with 7 sides? 360° 900° 1260° 180°

Explanation:

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

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

Step2: Substitute \( n = 7 \) into the formula

For a 7 - sided polygon, \( n = 7 \). Substitute \( n = 7 \) into the formula \( S=(n - 2)\times180^{\circ} \):
\( S=(7 - 2)\times180^{\circ} \)
First, calculate \( 7-2 = 5 \). Then, multiply \( 5\times180^{\circ}=900^{\circ} \).

Answer:

\( 900^{\circ} \) (the option corresponding to \( 900^{\circ} \))