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question what is the sum of the interior angles of the polygon pictured…

Question

question what is the sum of the interior angles of the polygon pictured below? answer attempt 1 out of 2

Explanation:

Step1: 明确多边形内角和公式

多边形内角和公式为\((n - 2)\times180^{\circ}\)(\(n\)为边数且\(n\geqslant 3\)且\(n\)为整数)。

Step2: 确定该多边形边数

通过观察图形可知该多边形边数\(n = 10\)。

Step3: 代入公式计算

将\(n = 10\)代入公式\((n - 2)\times180^{\circ}\),得到\((10 - 2)\times180^{\circ}=8\times180^{\circ}=1440^{\circ}\)。

Answer:

\(1440^{\circ}\)