GCSE Maths Practice: polygons

Question 4 of 10

This question asks students to find the number of sides of a polygon given the sum of its interior angles.

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\( \begin{array}{l}\text{The sum of the interior angles of a polygon is } 2160^\circ.\\ \text{Find the number of sides.}\end{array} \)

Choose one option:

Divide sum by 180, add 2 to find the number of sides.

Given the sum of interior angles, n can be found using (n-2) × 180° = sum. Here, sum = 2160°, so n-2 = 2160 ÷ 180 = 12, giving n = 14 sides. This method is useful for identifying polygons and solving related problems in GCSE geometry, including diagrams, proofs, and calculations.