Question

emily wants to construct a flower bed in the shape of a regular octagon (8 - sided convex polygon).
find the sum of the measures of the interior angles using the polygon interior angle sum theorem.
90°
1080°
1440°

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: Substitute \(n = 8\)

For an octagon, \(n=8\). Then \(S=(8 - 2)\times180^{\circ}\).

Step3: Calculate

\(S = 6\times180^{\circ}=1080^{\circ}\)

Answer:

\(1080^{\circ}\)