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Understanding Angle Pair Relationships and Essential Angle Theorems

In this lesson, we explore the relationships between various angle pairs, including supplementary, complementary, and vertical angles. We'll cover key theorems: the Supplementary Angle Theorem, which states that two angles that add up to 180° are supplementary; the Complementary Angle Theorem for angles totaling 90°; and the definition of vertical angles. You will complete examples using GeoGebra to solidify your understanding. Additionally, you'll find adjacent, complementary, and supplementary angles in practice problems to reinforce your learning.

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Understanding Angle Pair Relationships and Essential Angle Theorems

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  1. Do Now: • Copy Down HW • Take out yesterday’s HW

  2. Ch. 1-5 Describe Angle Pair Relationships 5 cards

  3. Supplementary Angle Theorem 2 angles that add to 180◦.

  4. Complementary Angle Theorem 2 angles that add to 90◦.

  5. Vertical Angle TheoremRefer to Geogebra

  6. Congruent Angles

  7. Theorems:

  8. Example 1:

  9. Example 2:

  10. Exit Slip: • Find 2 pairs of adjacent angles. • b. Find 2 pairs of complementary angles. • c. Find 2 pairs of supplementary angles. • d. If m<YPC=105, find the m<CPZ and m<CPD. P

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