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CAIE IGCSE Mathematics Core C4.7.1 Calculate Unknown Angles and Give Explanations Using the Following Questions

Practise Core CAIE IGCSE Mathematics by applying parallel-line, triangle and polygon angle facts with justified reasoning.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Core

Exam points

  • Use angle facts in parallel lines, triangles and polygons to find unknown angles.
  • Give a clear geometric reason for each angle calculation.
  • Combine known angle relationships systematically to solve multi-step problems.

CAIE IGCSE Mathematics Core C4.7.1 Calculate Unknown Angles and Give Explanations Using the Following Questions question 1

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Figure for Question CAIE IGCSE Mathematics Core C4.7.1 Calculate Unknown Angles and Give Explanations Using the Following Questions question 1 — CAIE IGCSE Mathematics Core

The diagram shows a circle, centre O, with diameter PQ. R is a point on the circumference.

Give a geometrical reason why angle PRQ is 90∘90^{\circ}.

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