1 / 36

Understanding Angles: Adjacent, Complementary, and Supplementary Relationships

This resource covers the fundamental concepts of angles in geometry, including adjacent, complementary, and supplementary angles. It explains the characteristics of adjacent angles, such as sharing a common ray and being side by side, with examples illustrated for clarity. Additionally, the lesson highlights how complementary angles sum up to 90° and supplementary angles sum up to 180°. Practical exercises are included to help students find missing angles and solve for variables in angle equations, reinforcing the understanding of these essential geometric concepts.

margarita-vargas
Télécharger la présentation

Understanding Angles: Adjacent, Complementary, and Supplementary Relationships

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Angle Relationships Pre-Algebra

  2. Adjacent angles are “side by side” and share a common ray. 15º 45º

  3. These are examples of adjacent angles. 45º 80º 35º 55º 130º 50º 85º 20º

  4. These angles are NOT adjacent. 100º 50º 35º 35º 55º 45º

  5. Complementary Anglessum to 90° 50° 40°

  6. Complementary angles add up to 90º. 30º 40º 50º 60º Adjacent and Complementary Angles Complementary Anglesbut not Adjacent

  7. Supplementary Anglessum to 180° 150° 30°

  8. Supplementary angles add up to 180º. 40º 120º 60º 140º Adjacent and Supplementary Angles Supplementary Anglesbut not Adjacent

  9. Vertical Anglesare opposite one another.Vertical angles are congruent. 100° 100°

  10. Vertical Anglesare opposite one another.Vertical angles are congruent. 80° 80°

  11. Practice Time!

  12. 1) Find the missing angle. ?° 36°

  13. 1) Find the missing angle. ?° 36° 90 ° – 36 = 54°

  14. 2) Find the missing angle. ?° 64°

  15. 2) Find the missing angle. ?° 64° 90 ° – 64° = 26°

  16. 3) Solve for x. 2x° 3x°

  17. 3) Solve for x. 2x° 3x° 3x° + 2x° = 90° 5x = 90 x =18

  18. 4) Solve for x. x + 25 2x + 5 (2x + 5) + (x + 25) = 90 3x + 30 = 90 3x = 60 x = 20

  19. 5) Find the missing angle. 168° ?°

  20. 5) Find the missing angle. 168° ?° 180° – 168° = 12°

  21. 6) Find the missing angle. ?° 58°

  22. 6) Find the missing angle. ?° 58° 180° – 58° = 122°

  23. 7) Solve for x. 5x 4x

  24. 7) Solve for x. 5x 4x 4x + 5x = 180 9x = 180 x = 20

  25. 8) Solve for x. 3x + 20 2x + 10

  26. 8) Solve for x. 3x + 20 2x + 10 (2x + 10) + (3x + 20) = 180 5x + 30 = 180 5x = 150 x = 30

  27. 9) Find the missing angles. 42° a ° c° b° l

  28. 9) Lines l and m are parallel.l||mFind the missing angles. 42° 138° 138° 42° l

  29. 10) Lines l and m are parallel.l||mFind the missing angles. 81° a ° c° b° l

  30. 10) Lines l and m are parallel.l||mFind the missing angles. 81° 99° 99° 81° l

  31. 11) Find the missing angles. 70 ° 70 ° b° Hint: The 3 angles in a triangle sum to 180°. d ° 65 °

  32. 11) Find the missing angles. 70 ° 70 ° 40° Hint: The 3 angles in a triangle sum to 180°. 75 ° 65 °

  33. 12) Find the missing angles. 45 ° 50 ° b° Hint: The 3 angles in a triangle sum to 180°. d ° 75 °

  34. 12) Find the missing angles. 45 ° 50 ° 85° Hint: The 3 angles in a triangle sum to 180°. 20° 75 °

  35. In the figure a || b. 13. Name the angles congruent to 3. 1, 5, 7 14. Name all the angles supplementary to 6. 1, 3, 5, 7 15. If m1 = 105° what is m3? 105° 16. If m5 = 120° what is m? 60°

  36. The End

More Related