The angle sum of a polygon is \( 360^{\circ} \). How many sides does it have?

To find the number of sides in a polygon where the angle sum is \( 360^{\circ} \), we can use the formula for the sum of interior angles of a polygon, which is given by \( (n-2) \times 180^{\circ} \), where \( n \) is the number of sides. So, we set up the equation: \[ (n-2) \times 180^{\circ} = 360^{\circ} \] Solving for \( n \): \[ n-2 = \frac{360}{180} \implies n-2 = 2 \implies n = 4 \] Thus, the polygon with an angle sum of \( 360^{\circ} \) has 4 sides, which means it's a quadrilateral! A quadrilateral can take many fun forms! You might find yourself staring at a square, rectangle, or even a funky kite shape, each showcasing the beauty of angles adding up to \( 360^{\circ} \). Remember, each time you connect points to create another side, you’re unlocking more intriguing possibilities within the world of shapes! If you're feeling adventurous, why not grab some graph paper and sketch all the different types of quadrilaterals? You can try out varying angles, making connections with real-world objects like windows and tables. This interactive approach will help you visualize the concept while reinforcing the fun of geometry!