ANGLE RELATIONSHIPS

 Angle relationships are an essential topic because they form the foundation of many different Maths topics.

1. Naming Lines and Angles

- Lines should be named as a group (pair) of letters.

For example, the diagram below shows the lines AB.

- To name angles, identify the vertex and the two letters at the end of each ray.

In the case below,

  • B is the vertex.
  • A and B are the ends of each ray.


  • To name the angle above, the middle letter should represent its vertex.

Thus, the angle can be named as such:

∠ABC or ∠CBA or ∠B
2. Angles from a point. 
   (a)  Complementary Angles.

   (b) Supplementary Angles.

   (c) Angles at a point (Angles in revolution).



Activity 1. 


3. Vertically Opposite Angles.

4.  Angles Associated with Parallel Lines. 

   (a) Parallel Lines




Transversals which cross parallel lines, give rise to three fundamental 
parallel angle relationships (Alternate, Corresponding and Co-interior 
angles).
  (b)  Alternate Angles.


  (c)  Corresponding Angles.



 (d) Co-Interior Angles.

Activity 2.


Proving Lines are Parallel



     EXAMPLE  


   HOMEWORK






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