Question

pentagon

the sum of the measures of the interior angles of a pentagon is \\(\square^{\circ}\\).

Explanation:

Identify the polygon type

Using the Polygon Classification knowledge point
A pentagon is a polygon with \(n = 5\) sides.

Apply the interior angle sum formula

The sum of the interior angles of an \(n\)-sided polygon is given by:

$$ S = (n - 2) \times 180^\circ $$

Substituting \(n = 5\):

$$ S = (5 - 2) \times 180^\circ = 3 \times 180^\circ = 540^\circ $$

Answer:

The sum of the measures of the interior angles of a pentagon is <blank>540</blank>\(^\circ\).