, 17.05.2020nelspas422

# What polygon in which the sum of all interior angles is 1080​

The polygon has 12 sides.

If the sum of its interior angles is 1260°, the number of sides of the polygon is 9.

8 SIDES OR OCTAGON

Step-by-step explanation:

octagon had eight sides, so the sum of the angles of the octagon is 180(8 - 2) = 180(6) = 1080 degrees

The polygon with an interior angle sum of 1080° is an octagon, or a polygon with 8 sides.

Explanation:

We simply used the formula for getting the interior angles of a polygon which is 180(n-2).

We now solve:

180(n-2) = 1080

180n - 360 = 1080

180n = 1080 + 360

180n = 1440

n = 1440/180

n = 8

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