GCSE Maths Practice: angles

Question 6 of 10

This question asks for the sum of interior angles of a pentagon.

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

Choose one option:

Use (n-2) × 180° to find the sum of interior angles.

The sum of interior angles in a polygon is calculated using (n-2) × 180°, where n = number of sides. For a pentagon, (5-2) × 180 = 3 × 180 = 540°. Understanding interior angle sums is important for solving polygon problems, identifying unknown angles, and constructing geometric diagrams. Knowledge of interior angles helps in polygons, including hexagons and heptagons, and is applied in architecture, design, and math competitions. Students should practice calculating interior angles for various polygons to master the formula and visualize angles in shapes accurately. Reinforcing this concept allows confident handling of complex geometric problems in GCSE exams.