GCSE Maths Practice: polygons

Question 6 of 10

This question requires calculating the sum of interior angles of a quadrilateral using the polygon angle formula.

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

Choose one option:

Use (n-2) × 180°. For quadrilateral, 2 × 180° = 360°.

The sum of interior angles in any polygon is given by (n-2) × 180°, where n is the number of sides. For a quadrilateral, n=4, so (4-2) × 180° = 2 × 180° = 360°. This formula is essential for solving GCSE polygon problems, including calculating missing angles, proving angle properties, and working with geometric diagrams. Understanding and practising this formula allows students to handle questions on any polygon, from triangles to decagons, and is foundational for advanced geometry reasoning. Visualising quadrilaterals and checking the sum of angles helps ensure accuracy in calculations and proofs.