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The sum of interior angle of a polygon is 1080° find the number of sides and the name of tbe polygon?

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Final answer:

The sum of interior angles of a polygon can be calculated using the formula (n-2)x180 degrees. By setting up and solving an equation with this formula, we can find both the number of sides and the name of the polygon.

Step-by-step explanation:

Let's denote the number of sides of the polygon as n. The sum of the interior angles of a polygon with n sides can be calculated using the formula: (n-2)x180 degrees.

Given that the sum of the interior angles is 1080 degrees, we can set up the equation: (n-2) x 180 = 1080.

Simplifying the equation, we have: n - 2 = 6. Adding 2 to both sides, we find that n = 8.

Therefore, the polygon has 8 sides and the name of the polygon is an octagon.

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