Introduce what it means for angles to be adjacent, complementary and supplementary.
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
).
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.
This video introduces the concept of adjacent angles.
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This video introduces the concept of complementary angles, as well as how to remember the difference between complementary and supplementary angles.
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This video introduces the concept of supplementary angles and helps learners to remember the difference between supplementary and complementary angles.
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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).
This video explains how to find an unknown angle using known angle relationships.
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This video demonstrates how to use a complementary relationship to find an unknown angle.
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This video introduces the congruent complements and supplements theorem.