GCSE Maths Practice: angles

Question 4 of 10

This question focuses on exterior angles of regular polygons, specifically a hexagon.

\( \begin{array}{l}\text{What is the exterior angle of a regular hexagon?}\end{array} \)

Choose one option:

Use 360 ÷ n to find each exterior angle of a polygon.

An exterior angle is formed when a side of a polygon is extended. For a regular hexagon, all sides and angles are equal. To find the exterior angle, divide 360° by the number of sides: 360 ÷ 6 = 60°. Understanding exterior angles helps in solving problems involving rotations, polygon constructions, and geometry proofs. Exterior angles are supplementary to interior angles, and knowing one allows calculation of the other. Practicing exterior angle calculations improves problem-solving skills, diagram interpretation, and geometric reasoning. Exterior angles also appear in real-world contexts such as architecture, tiling, and design. For exam preparation, being comfortable with exterior angle formulas and visualization is essential. Students should practice finding exterior angles for polygons of different sides to build confidence and accuracy.