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Lesson 4.6 Angle Pair Relationships

Learn about adjacent angles, linear pairs, vertical angles, and angle congruence theorems in geometry. Practice identifying angles and solving for angle measures in diagrams.

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Lesson 4.6 Angle Pair Relationships

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  1. Lesson 4.6 Angle Pair Relationships Page 223

  2. Lesson 4.6

  3. Adjacent Angles 1. Two angles that share a common vertex and side, but have no common interior points are adjacent angles. C D A B

  4. Linear Pair Two adjacent angles are a linear pair if their noncommon sides are opposite rays. C A D B

  5. Theorem 4.3 Right Angles Congruence Theorem: All right angles are congruent. C A B

  6. Theorem 4.4 Congruent Supplements Theorem: If two angles are supplementary to the same angle (or to congruent angles), then they are congruent.

  7. Theorem 4.5 Congruent Complements Theorem: If two angles are supplementary to the same angle (or to congruent angles), then they are congruent.

  8. Linear Pair Postulate: If two angles form a linear pair, then they are supplementary. 2 1

  9. Theorem 4.6 Vertical Angles Congruence Theorem: Vertical angles are congruent. 1 3 2

  10. Example 1

  11. Guided Practice

  12. Example 2 Find the other angles as well.

  13. Example 3

  14. Guided Practice #8

  15. Guided Practice #9

  16. Homework 4.6 page 225 1 - 14

  17. True/False

  18. #5 Make a sketch of the given information. Label all angles which can be determined.

  19. #6 Make a sketch of the given information. Label all angles which can be determined.

  20. #7 Make a sketch of the given information. Label all angles which can be determined.

  21. #8 Make a sketch of the given information. Label all angles which can be determined.

  22. #9 Make a sketch of the given information. Label all angles which can be determined.

  23. #10 Make a sketch of the given information. Label all angles which can be determined.

  24. #11 Find the value of the variables and the measure of each angle in the diagram.

  25. #12 Find the value of the variables and the measure of each angle in the diagram.

  26. #13 Find the value of the variables and the measure of each angle in the diagram.

  27. #14 Find the value of the variables and the measure of each angle in the diagram.

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