2026-09-10T00:15:04.634556 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/ © EAGLE BEACON GLOBAL Calculate the sum of the interior angles of the r...
Question 1 Report
Calculate the sum of the interior angles of the regular polygon in the diagram, which has \(9\) sides. Then calculate the size of each interior angle. Give both answers in degrees.
Answer Details
A polygon with \(n\) sides has interior angle sum \((n-2)\times180^\circ\). For 9 sides:
\[(9-2)\times180^\circ=7\times180^\circ=1260^\circ\]
[M1 A1]
Because the polygon is regular, all 9 interior angles are equal:
\[1260^\circ\div9=140^\circ\]
[A1] The interior angle sum is \(1260^\circ\), and each interior angle is \(140^\circ\).
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