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Splash Screen. You will be able to Write proofs involving relationships of angles. Then/Now. Concept. Concept. Use the Angle Addition Postulate.

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  1. Splash Screen

  2. You will be able to • Write proofs involving relationships of angles Then/Now

  3. Concept

  4. Concept

  5. Use the Angle Addition Postulate CONSTRUCTIONUsing a protractor, a construction worker measures that the angle a beam makes with a ceiling is 42°. What is the measure of the angle the beam makes with the wall? Example 1

  6. Find m1 if m2 = 58 and mJKL = 162. A. 32 B. 94 C. 104 D. 116 Example 1

  7. Concept

  8. Use Supplement or Complement TIMEAt 4 o’clock, the angle between the hour and minute hands of a clock is 120º. When the second hand bisects the angle between the hour and minute hands, what are the measures of the angles between the minute and second hands and between the second and hour hands? Example 2

  9. QUILTINGThe diagram shows one square for a particular quilt pattern. If mBAC = mDAE = 20, and BAE is a right angle, find mCAD. A. 20 B. 30 C. 40 D. 50 Example 2

  10. Concept

  11. Concept

  12. Concept

  13. Concept

  14. Given: Prove: Proofs Using Congruent Comp. or Suppl. Theorems Example 3

  15. Proof: Statements Reasons 1. 1. 2. 2. 3. 3. 4. 4. Proofs Using Congruent Comp. or Suppl. Theorems Example 3

  16. In the figure, NYR andRYA form a linear pair,AXY and AXZ form a linear pair, and RYA andAXZ are congruent. Prove that NYR and AXY are congruent. Example 3

  17. Statements Reasons 1. 1. 2. 2. 3. 3. 4. 4. Example 3

  18. Concept

  19. Proof: Statements Reasons Use Vertical Angles If 1 and 2 are vertical angles and m1 = d – 32 and m2 = 175 – 2d, find m1 and m2. Justify each step. 1. 1. 2. 2. 3. 3. 4. 4. Example 4

  20. Use Vertical Angles Statements Reasons 5. 5. 6. 6. 7. 7. Example 4

  21. Concept

  22. End of the Lesson

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