If the sum of the measures of the interior angles of a n-sided polygon is 1,0800, then set up a mathematical model to find the number of sides of the polygon.

180(n-2) = 10800

A brick has a length of 22 cm and a width of 17 cm. If the volume of the brick is 3,740 cm3, then find the height of the brick

To set up a mathematical model to find the number of sides of the polygon, we can use the formula for the sum of the interior angles of a polygon:

Sum of interior angles = (n - 2) * 180

Where n is the number of sides of the polygon.

We are given that the sum of the measures of the interior angles is 1,0800, so we can set up the equation:

1,0800 = (n - 2) * 180

To solve for n, we can rearrange the equation:

(n - 2) * 180 = 1,0800

Divide both sides by 180:

(n - 2) = 1,0800 / 180

Simplify the right side:

(n - 2) = 6

Add 2 to both sides:

n = 6 + 2

Simplify:

n = 8

Therefore, the number of sides of the polygon is 8.