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Polygons have exterior angles that add up to \( 360^{\circ} \). It depends on if the shape is regular Never Always It depends on number of sides

Ask by Wheeler Fowler. in the United States
Feb 25,2025

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Answer

The sum of the exterior angles of any polygon is always 360°.

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The sum of the exterior angles of any polygon is always 360°—regardless of whether the shape is regular (all sides and angles are equal) or irregular.

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Mind Expander

Every polygon, whether regular or irregular, has exterior angles that sum to a delightful \( 360^{\circ} \). So, whether you’re dealing with a triangle, a hexagon, or a dodecagon, the grand total is always the same! Isn’t geometry full of surprises? When tackling polygons, keep in mind that common mistakes include forgetting how to calculate the exterior angles. Remember, each exterior angle can be found by subtracting the interior angle from \( 180^{\circ} \). An easy rule: for regular polygons, just divide \( 360^{\circ} \) by the number of sides to find each exterior angle. Happy calculating!

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