Question

which polygon has an interior angle sum of 1080°?

Explanation:

Step1: Recall the formula for the sum of interior angles

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: Solve for \(n\)

We are given that \(S = 1080^{\circ}\). Substitute \(S\) into the formula:

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A polygon with \(n = 8\) sides is an octagon.

Answer:

The polygon with 8 sides (the first - looking like a regular octagon among the options, assuming the first one has 8 vertices) has an interior angle sum of \(1080^{\circ}\).