Question

1. find the sum of the measures of the interior angles of the regular hexagon using the polygon interior angle sum theorem. 720° 60° 120° 900°

Explanation:

Step1: Recall the formula

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

Step2: Identify \(n\) for a hexagon

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

Step3: Substitute \(n\) into the formula

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

Step4: Calculate the sum

\(S = 4\times180^{\circ}=720^{\circ}\)

Answer:

\(720^{\circ}\) (the first option)