**Differentiated Learning Objectives**

- All students should be able to discover the relationships between the angles at the centre and circumference of a circle, opposite angles in cyclic quadrilaterals and angles at the circumference in the same segment.
- Most students should be able to discover the three theorems and apply them individually to calculate missing angles.
- Some students should be able to discover and apply the three properties and apply them to calculate angles involving multiple theorems.

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