What type of polygon has an interior angle sum of 720 degrees?

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The sum of the interior angles of a polygon can be calculated using the formula:

Sum = (n – 2) × 180

Where n is the number of sides in the polygon.

Given that the sum of the interior angles is 720 degrees, we can set up the equation:

(n – 2) × 180 = 720

Solving for n:

  1. Divide both sides by 180:

n – 2 = 720 / 180

n – 2 = 4

  1. Add 2 to both sides:

n = 4 + 2

n = 6

Thus, the polygon has 6 sides, which identifies it as a hexagon.

In summary, if the sum of the measures of the interior angles of a polygon is 720 degrees, it is a hexagon.

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