Question

which of the following expressions can be used to find the sum of the interior angles of an octogon? a. 180(8 - 2) b. 180(10 - 2) c. 180(6 + 2) d. 180(8 + 2)

Explanation:

Step1: Recall polygon - interior - angle - sum formula

The sum of the interior angles of a polygon is given by \(S = 180(n - 2)\), where \(n\) is the number of sides of the polygon.

Step2: Identify the number of sides of an octagon

An octagon has \(n=8\) sides.

Step3: Substitute \(n = 8\) into the formula

Substitute \(n = 8\) into \(S = 180(n - 2)\), we get \(S=180(8 - 2)\).

Answer:

A. \(180(8 - 2)\)