Exterior Angles of Polygons Score1/2 Penalty: mone Question Watch Video Show Eramples The exterior angle of a regular polygon measures \( 40^{\circ} \). How many sides does the polygon have? Zalyers Priyens Answer stempt lout of 2 Falygons (Level2) Submit tnower

Did you know that the sum of the exterior angles of any polygon, regardless of the number of sides, is always \(360^{\circ}\)? This means when you know the measurement of one exterior angle, you can find out how many sides it has by dividing \(360^{\circ}\) by that angle's measure. So, if your polygon has an exterior angle of \(40^{\circ}\), you divide \(360^{\circ}\) by \(40^{\circ}\) to find it has 9 sides! Now, here's a fun fact: regular polygons are not just mathematical concepts; they show up all around us! Think about a soccer ball (which is a truncated icosahedron), or even the stop signs you see while driving, which are octagons! Polygons can be found in architecture, art, and nature, turning the abstract into fascinating real-world structures!