The sum of the angle measures of a polygon with n sides is 2880. Find n.

Solution:

In geometry, the definition of a polygon is given as a closed two-dimensional figure with three or more straight lines.

We see many different polygons around us.

For example, the shape of a honeycomb is a hexagon.

Each polygon is different in structure, they are categorized based on the number of sides and their properties.

Given, the sum of the angle measures of a polygon with n sides is 2880.

We have to find the number of sides n.

The sum of angle of polygon is given by the formula (n-2)180°

So, 2880 = (n-2)180°

Dividing by 180 on both sides,

(n-2) = 2880/180

(n-2) = 16

n = 16 + 2

n = 18

Therefore, the number of sides of a polygon is 18.

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The sum of the angle measures of a polygon with n sides is 2880. Find n.

Summary:

The sum of the angle measures of a polygon with 18 sides is 2880.