Question

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how many sides does a regular polygon have if each interior angle measures 162°?
answer attempt 1 out of 2
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Explanation:

Step1: 求外角角度

多边形内角与外角互补，已知内角为\(162^{\circ}\)，则外角为\(180 - 162=18^{\circ}\)。

Step2: 求边数

多边形外角和为\(360^{\circ}\)，边数\(n=\frac{360}{外角角度}\)，即\(n = \frac{360}{18}=20\)。

Answer:

\(20\)