❖ In this lesson, we go through an example that shows the sum of the exterior angles of a concave polygon is always \(360^\circ\), no matter how many sides it has.

Using simple visuals and step-by-step reasoning, we explore why this property still holds true for a concave hexagon polygon, even when one of the exterior angles is negative due to a reflex interior angle.

Note: A reflex angle is any angle greater than \(180^\circ\).

🎯 Concepts Covered in this lesson:

✔ What is a concave polygon?

✔ What is an exterior angle?

✔ How exterior angles are formed in concave polygons

✔ Why the sum of the exterior angles of a concave polygon is always \(360^\circ\)

✔ Why one of the exterior angles is negative and how the total still adds up to \(360^\circ\)

✔ Note: This rule holds for any polygon, not just concave ones

🎯 We explore in this lesson:

🔹 How to turn at each vertex of a concave polygon

🔹 Why the total turn still equals a full circle

🔹 A visual explanation showing that the sum of exterior angles is always \(360^\circ\), even with a negative angle

✅ This lesson is perfect for students who want a clear and visual example of this key geometry concept. Whether you’re studying for a test or reviewing fundamentals, this example will help you understand and remember why the sum of exterior angles is always \(360^\circ\) even for concave shapes.