6. What is the sum of the interior angles of the heptagon?

To find the sum of the interior angles of a heptagon, you can use the formula \( (n - 2) \times 180^\circ \), where \( n \) is the number of sides. For a heptagon, \( n = 7 \), so the calculation would be \( (7 - 2) \times 180^\circ = 5 \times 180^\circ = 900^\circ \). Therefore, the sum of the interior angles of a heptagon is \( 900^\circ \). But did you know that the heptagon has intrigued mathematicians for centuries? The pursuit of understanding regular heptagons led to fascinating discoveries in geometry and the exploration of their properties, including their symmetries and how they can tile a plane. It’s a beautiful example of how geometry connects to both art and mathematics! Moreover, interior angles come into play not just in theoretical math but also in real-life applications. For example, architects often use polygonal shapes like heptagons to design buildings or gardens, optimizing space while ensuring structural stability and aesthetic appeal. So next time you see a unique structure, think about the angles that make it possible!