Pentagon
A pentagon is a polygon with five sides and five angles
A pentagon is a polygon with five sides and five angles. It is a two-dimensional shape that is closed, meaning all of its sides connect to form a closed loop. Each side of a pentagon is called an edge, and the point where two sides meet is called a vertex. The angles in a pentagon are formed where two sides intersect, and there are a total of five angles in a pentagon.
To calculate the sum of the interior angles of a pentagon, we can use the formula: (n-2) * 180 degrees, where n is the number of sides. For a pentagon, the sum of the interior angles is (5-2) * 180 = 540 degrees.
The measure of each interior angle in a regular pentagon (where all sides and angles are equal) can be found by dividing the sum of the interior angles by the number of angles, so for a regular pentagon, each angle measures 540 / 5 = 108 degrees.
Some properties and characteristics of a pentagon include:
1. It has five lines of symmetry, meaning it can be divided into equal halves by five different lines.
2. It has five diagonals, which are line segments connecting non-adjacent vertices.
3. The length of each side in a regular pentagon is equal.
4. The measure of each angle in a regular pentagon is equal.
Understanding the properties and formulas related to polygons like the pentagon can help solve various mathematical problems involving angles, sides, and other aspects of geometric shapes.
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