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Interior & Exterior Angles of a Polygon (Examples)

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❖ Learn how to find missing interior and exterior angles of a polygons using simple rules and clear examples!

In this lesson, we walk through two polygons:

– an irregular triangle

– a regular hexagon

For each shape, we solve for:

✔️ the missing interior angle \(x\)

✔️ the missing exterior angle \(y\)

🎯 Key concepts covered:

– What is a convex vs. concave polygon?

– When is a polygon called regular or irregular?

– Sum of interior angles \(= (n – 2) × 180^\circ\)

– Sum of exterior angles \(= 360^\circ\)

– Exterior Angle \(= 180^\circ –\) Interior Angle

You’ll see two different ways to solve each example, so you can clearly understand both approaches.

🔍 See how the exterior angles of any polygon always add up to \(360^\circ\), just like a full circle. It’s a simple but powerful idea that works for every polygon!

🎯 Whether you’re a student, teacher, or just love math this lesson is a helpful guide to mastering interior & exterior angles!

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