Understanding Heptagons | Properties, Angles, and Diagonals

Heptagon

A heptagon is a polygon with seven sides and seven angles

A heptagon is a polygon with seven sides and seven angles. The word “heptagon” is derived from the Greek words “hepta,” which means seven, and “gonia,” which means angle. In a heptagon, each angle measures 128.57 degrees.

Properties of a Heptagon:
1. Number of Sides: A heptagon has seven sides.
2. Number of Angles: A heptagon has seven angles.
3. Sum of Internal Angles: The sum of the internal angles of a heptagon is equal to (n-2) × 180 degrees, where n is the number of sides. In this case, the sum of internal angles is (7-2) × 180 = 900 degrees.
4. Size of Internal Angles: In a regular heptagon (where all sides and angles are equal), the size of each internal angle is 900/7 = 128.57 degrees.
5. Exterior Angles: The exterior angle of a heptagon is formed by extending one of its sides. In a regular heptagon, each exterior angle measures 51.43 degrees.
6. Diagonals: A diagonal is a line segment that connects non-adjacent vertices of a polygon. A heptagon has ten diagonals.

It’s important to note that a heptagon doesn’t have to be regular. Regular polygons have all sides and angles equal, whereas irregular polygons have sides and/or angles that are unequal.

I hope this comprehensive explanation helps you understand the concept of a heptagon! Let me know if you have any further questions or need assistance with any other math topic.

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