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Angle Relationships

Angle Relationships

Description:
  1.  

    Introduce what it means for angles to be adjacent, complementary and supplementary.

  2.  

    Provide practice examples that demonstrate how to identify angle relationships, as well as examples that solve for unknown angles (ex.  and are supplementary and m= 950.  Find  m).          

  3.  

    Introduce and demonstrate the congruent complements theorem, as well as the congruent supplements theorem (ex. If and are complementary, and and are complementary, then )

 

This packet should help a learner seeking to understand how to identify and understand angle relationships.

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Tutorial

Adjacent Angles

This video introduces the concept of adjacent angles.

Source: RobertOB on Guaranteach

Complementary Angles

This video introduces the concept of complementary angles, as well as how to remember the difference between complementary and supplementary angles.

Source: RobertOB on Guaranteach

Supplementary Angles

This video introduces the concept of supplementary angles and helps learners to remember the difference between supplementary and complementary angles.

Source: RobertOB on Guaranteach

A Useful Trick for Remembering the Difference Between Complementary and Supplementary Angles

A useful mnemonic device to assist in remembering the difference between complementary and supplementary angles is to use the first letter in each word. The letter that comes earlier in the alphabet (the C in complementary) corresponds to the smaller angle (90o), and the letter that comes later in the alphabet (the S in supplementary) corresponds to the larger angle (180o).

Solving for Supplementary Angles

This video explains how to find an unknown angle using known angle relationships.

Source: Justus on Guaranteach

Solving for Complementary Angles

This video demonstrates how to use a complementary relationship to find an unknown angle.

Source: CristenJones on Guaranteach

Congruent Complements and Supplements Theorem

This video introduces the congruent complements and supplements theorem.