Question

find the measure of a single exterior angle of a regular pentagon. if necessary, round to the nearest tenth.

Explanation:

Step1: 多边形外角和定理

任意多边形的外角和都是\(360^{\circ}\)。

Step2: 正五边形外角计算

正五边形的\(5\)个外角都相等，设一个外角为\(x\)，则\(5x = 360^{\circ}\)。

Step3: 求解外角

\(x=\frac{360^{\circ}}{5}=72^{\circ}\)

Answer:

\(72\)