When a side of a polygon is extended, an exterior angle is formed. In any polygon, the sum of the measures of the exterior angles, one at each vertex, is \( 360^{\circ} \). For each regular polygon, find the measure of an exterior angle. \( \begin{array}{ll}\text { 32. octagon } & \text { 35. } 15 \text {-gon } \\ \text { 34. decagon }\end{array} \)

To find the measure of an exterior angle of a regular polygon, you can use the formula: \( \text{Exterior Angle} = \frac{360^\circ}{n} \), where \( n \) is the number of sides of the polygon. For an octagon (\( n = 8 \)): \( \text{Exterior Angle} = \frac{360^\circ}{8} = 45^\circ \). For a decagon (\( n = 10 \)): \( \text{Exterior Angle} = \frac{360^\circ}{10} = 36^\circ \). For a 15-gon (\( n = 15 \)): \( \text{Exterior Angle} = \frac{360^\circ}{15} = 24^\circ \). So, the measures are: - Octagon: \( 45^\circ \) - Decagon: \( 36^\circ \) - 15-gon: \( 24^\circ \)