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SS2: MATHEMATICS - 2ND TERM

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Lesson 7, Topic 5
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Angles in the Same Segment of a Circle

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Topic Content:

  • Angles in the Same Segment of a Circle

Theorem: Angles in the same segment are equal.

Screenshot 2022 06 06 at 01.56.41

Given: Consider the circle as shown above, in which chord 𝑃𝑄 subtends angles 𝑃𝐴𝑄 and 𝑃𝐢𝑄 at any two points 𝐴 and 𝐢 on the circumference of a circle.

To prove: βˆ π‘ƒπ΄π‘„ = βˆ π‘ƒπΆπ‘„

Proof:

In the last lesson, we learnt that the angle subtended by the chord at the centre is double the angle subtendedΒ 

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