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🔺 Polygon Exterior Angle Sum Lab

No Matter How Many Sides,
the Exterior Angle Sum Is Always 360°

Change the number of sides with the slider. The interior angle sum keeps growing as the number of sides increases, but the exterior angle sum stays exactly 360° whether it's a triangle or a 12-sided polygon.

Exterior angle is the angle between a side extended past a vertex and the next side. At every vertex of a polygon, "interior angle + exterior angle = 180°" always holds. Imagine walking once all the way around the shape's perimeter — add up the angle you turn at each vertex (the exterior angle), and it comes out to exactly one full turn (360°).

Number of sides (n)5
The interior angle sum, (n−2)×180°, keeps growing with the number of sides, but the exterior angle sum is the same as turning all the way around the shape once, so it always stays a constant 360°.