GCSE Maths Practice: polygons

Question 1 of 10

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

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\( \begin{array}{l}\text{A regular polygon has an exterior angle of } 30^\circ.\\ \text{How many sides does it have?}\end{array} \)

Choose one option:

Divide 360° by the exterior angle to get the number of sides.

The sum of exterior angles of any polygon is always 360°. To find the number of sides, divide 360° by the measure of one exterior angle. Here, exterior angle = 30°, so 360 ÷ 30 = 12 sides. Understanding this property is important for identifying polygons, calculating interior angles, and solving related geometry problems in GCSE. Practising these calculations helps students apply formulas efficiently and improves geometric reasoning.