GCSE Maths Practice: triangles-and-quadrilaterals

Question 10 of 10

This question reviews the sum of interior angles in quadrilaterals.

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

Choose one option:

Split the quadrilateral into two triangles and sum the angles.

A quadrilateral has four sides and four angles. By splitting a quadrilateral into two triangles, each with angles summing to 180°, the total interior angles sum to 360°. This property helps solve for unknown angles, construct geometric diagrams, and understand relationships between shapes. Quadrilaterals appear in real-life structures, tiling patterns, and design. Practicing calculations of quadrilateral angles improves geometric reasoning, diagram interpretation, and exam performance. Understanding angle sums is essential for GCSE geometry questions, polygon proofs, and solving real-world problems involving shape layouts. Visual exercises with labeling sides and angles reinforce this understanding.