Which of the following polygons has its interior angles sum to less than 1,080 degrees?

To determine the sum of the interior angles of a polygon, the formula used is ( (n - 2) \times 180 ) degrees, where ( n ) is the number of sides in the polygon.

For the hexagon, which has 6 sides:

[

(6 - 2) \times 180 = 4 \times 180 = 720 \text{ degrees}

]

For the octagon, which has 8 sides:

[

(8 - 2) \times 180 = 6 \times 180 = 1,080 \text{ degrees}

]

For the decagon, which has 10 sides:

[

(10 - 2) \times 180 = 8 \times 180 = 1,440 \text{ degrees}

]

For the dodecagon, which has 12 sides:

[

(12 - 2) \times 180 = 10 \times 180 = 1,800 \text{ degrees}

]

The only polygon with a sum of interior angles that is less than 1,080 degrees is the hexagon, which sums to 720 degrees. The octagon's sum is exactly