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Edexcel IGCSE Math A 4.6.HC circle angle theorems

Practise circle-theorem questions by selecting the theorem that matches the diagram, calculating the angle and giving a reason.

Syllabus
First assessment 2018
Course
Math A 4MA1
Level
Higher

Exam points

  • Use the centre-and-circumference theorem to relate angles subtended by the same arc.
  • Apply angles in the same segment, cyclic quadrilateral or diameter angle facts.
  • Give the circle-theorem reason after calculating the requested angle value.

4.6.HC Circle angle properties question 1

[Maximum number: 4]
Figure for Question 4.6.HC Circle angle properties question 1 — Edexcel IGCSE Math A Higher

L, M, N and P are points on a circle, centre O
Angle MNP=58∘M N P=58^{\circ}

Question (a)

(a)

Find the size of angle MLP

[ 2 ]

Question (b)

(b)

Find the size of the reflex angle MOP

[ 2 ]
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