GCSE Maths Practice: polygons

Question 3 of 10

This question asks students to find the number of sides of a polygon given the exterior angle.

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\( \begin{array}{l}\text{The exterior angle of a regular polygon is } 40^\circ.\\ \text{How many sides does it have?}\end{array} \)

Choose one option:

Use formula: Number of sides = 360° ÷ exterior angle.

The sum of exterior angles of any polygon is 360°. If a single exterior angle is given, the number of sides can be found by dividing 360° by the exterior angle. Here, exterior angle = 40°, so number of sides = 360 ÷ 40 = 9. Understanding this property helps students solve geometry problems, work with diagrams, and identify polygons quickly. Practising these calculations builds fluency in polygon properties and angle relationships, essential for GCSE geometry and problem solving.