Understanding the difference between exterior and interior angles is crucial for mastering geometry. Let's define each and then compare them side-by-side.
Interior angles are the angles formed inside a polygon by two of its adjacent sides.
Exterior angles are the angles formed outside a polygon by extending one of its sides.
| Feature | Interior Angles | Exterior Angles |
|---|---|---|
| Definition | Angles inside a polygon. | Angles formed by extending one side of a polygon. |
| Sum Formula | $(n-2) \times 180^{\circ}$, where $n$ is the number of sides. | Always $360^{\circ}$ for convex polygons. |
| Dependence on Sides | The sum depends on the number of sides of the polygon. | The sum is independent of the number of sides. |
| Example (Triangle) | The sum of interior angles is $180^{\circ}$. | The sum of exterior angles is $360^{\circ}$. |
| Calculation | Sum varies based on polygon type (triangle, square, pentagon, etc.) | Sum is constant regardless of polygon type (for convex polygons). |
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