GCSE Maths Practice: triangles-and-quadrilaterals

Question 6 of 10

This question calculates an interior angle of a regular pentagon.

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\( \begin{array}{l}\text{Find the size of an interior angle of a regular pentagon.}\end{array} \)

Choose one option:

Apply formula: ((n-2)*180)/n for interior angles.

For a regular polygon, each interior angle can be calculated using the formula: ((n-2)*180)/n, where n = number of sides. For a pentagon (n=5): ((5-2)*180)/5 = 108°. Understanding interior angles is important for classifying polygons, calculating missing angles, and solving geometric problems. Practice calculating angles for different polygons to reinforce the concept. Real-life applications include architectural design, tiling, and geometric constructions. Knowing interior angles helps in composite shape problems, proofs, and diagram labeling. Repetition and practice ensure accuracy and confidence in applying the formula during exams.