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CAIE IGCSE Mathematics C4.6 Angles Question Bank

Practise naming angle types from diagrams and using triangle facts to find missing angles in simple geometrical figures.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Core

Exam points

  • name angles as acute, obtuse or reflex from a diagram or given size range
  • calculate x in an isosceles triangle using equal base angles and angle sum 180°

Covered syllabus points

C4.6.1 Angles at points and in polygonsC4.6.2 Angles in parallel linesC4.6.3 Regular polygon angles

C4.6 Angles question 1

[Maximum number: 2]

The diagram shows an isosceles triangle.

NOT TO SCALE

NOT TO SCALE

Find the value of x.

C4.6 Angles question 2

[Maximum number: 2]



NOT TO SCALE

The diagram shows triangle ABC. M is the midpoint of AC.

Triangle ABC is rotated 180∘180^{\circ} about centre M. The image and the original triangle together form a quadrilateral ABCD.

Find angle BAD.

C4.6 Angles question 3

[Maximum number: 1]
NOT TO SCALE

NOT TO SCALE

Show that two regular octagons and a square meet at a point without any gaps.

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