Question

determine the sum of the measures of the interior angles of the specified polygon. a hexagon
a 540 degrees
b 900 degrees
c 720 degrees
d 1,080 degrees

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 of the polygon.

Step2: Identify the value of n

A hexagon has $n = 6$ sides.

Step3: Calculate the sum

Substitute $n = 6$ into the formula: $S=(6 - 2)\times180^{\circ}=4\times180^{\circ}=720^{\circ}$.

Answer:

C. 720 degrees