Pregunta
QUESTION 6 Polygons have exterior angles that add up to \( 360^{\circ} \). It depends on number of sides It depends on if the shape is regular Always Never
Ask by Griffin Sandoval. in the United States
Mar 11,2025
Solución de inteligencia artificial de Upstudy
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The sum of the exterior angles of any polygon is always \(360^\circ\).
Solución
To solve the problem, we first recall the following fact:
- For any polygon, the sum of the measures of the exterior angles, one at each vertex, is always \(360^\circ\).
This fact holds irrespective of:
- The number of sides of the polygon.
- Whether the polygon is regular (all sides and angles are congruent) or irregular.
Thus, the correct answer is:
**Always**
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Simplifique esta solución The Deep Dive
Guess what? The exterior angles of a polygon, regardless of the number of sides or whether it's regular or irregular, always add up to \( 360^\circ \)! So whether you're wrangling with a triangle or a dodecagon, the magic number remains the same. It's like a quirky rule of geometry that keeps things consistent! Now, if you're exploring this in a real-world context, think of a stop sign. It's an octagon with 8 sides, and even when it comes to calculating the angles between the arms of the sign, they too will contribute to that lovely total of \( 360^\circ \). So every sharp turn is part of that geometric dance!
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