The exterior angle of a regular polygon measures \( 4^{\circ} \). How many sides does the polygon have?

To find the number of sides in a regular polygon with an exterior angle of \( 4^\circ \), you can use the formula that relates the exterior angle to the number of sides: \[ \text{Number of sides} (n) = \frac{360^\circ}{\text{Exterior Angle}} \] Plugging in the exterior angle: \[ n = \frac{360^\circ}{4^\circ} = 90 \] So, the polygon has 90 sides! When you think about a polygon with 90 sides, it might seem like a massive shape! In fact, it’s often referred to as a "enneacontagon." Now, imagine trying to draw it neatly—ensuring all those sides meet perfectly at their vertices! It’s a great mental exercise in geometry to visualize how those 90 angles fit together seamlessly.