Question

question 18 of 27 what is the sum of the interior angles of a regular hexagon? a. 720° b. 180° c. 540° d. 360°

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

Step2: Determine the number of sides of a hexagon

A hexagon has \( n = 6 \) sides.

Step3: Substitute \( n = 6 \) into the formula

Substitute \( n = 6 \) into \( S=(n - 2)\times180^{\circ} \), we get \( S=(6 - 2)\times180^{\circ} \).
First, calculate \( 6-2 = 4 \), then \( 4\times180^{\circ}=720^{\circ} \).

Answer:

A. \( 720^\circ \)