GCSE Maths Practice: polygons

Question 5 of 10

This question asks students to calculate the sum of interior angles of a hexagon, applying the standard polygon formula.

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\( \begin{array}{l}\text{What is the sum of the interior angles of a hexagon?}\end{array} \)

Choose one option:

Apply formula (n-2) × 180°. For hexagon, n=6, multiply 4 × 180° = 720°.

The sum of interior angles in a polygon is calculated using the formula (n-2) × 180°, where n is the number of sides. For a hexagon, n=6, so (6-2) × 180° = 4 × 180° = 720°. Understanding this formula allows students to solve problems involving the sum of interior angles for any polygon, including hexagons, pentagons, octagons, and beyond. This is fundamental in GCSE geometry, as it underpins calculations for interior and exterior angles, helps in identifying missing angles, and supports reasoning in proofs. Practising this method ensures accuracy in diagrams, exams, and real-world applications such as architecture and design where angle sums are essential.