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Adjacent, Vertical, Supplementary, and Complementary Angles

Adjacent, Vertical, Supplementary, and Complementary Angles. Adjacent angles: Two angles are adjacent if they share a common vertex and side but have no common interior points . 15 º. 45 º. Examples of adjacent angles. 35 º. 45 º. 80 º. 55 º. 130 º. 50 º. 85 º. 20 º.

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Adjacent, Vertical, Supplementary, and Complementary Angles

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  1. Adjacent, Vertical, Supplementary, and Complementary Angles

  2. Adjacent angles:Two anglesare adjacent if they share a common vertex and sidebut have no common interior points. 15º 45º

  3. Examples of adjacent angles. 35º 45º 80º 55º 130º 50º 85º 20º

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

  5. When 2 lines intersect, they make vertical angles. 75º 105º 105º 75º

  6. Vertical angles are opposite to one another. 45º 75º 135º 135º 105º 105º 45º 75º

  7. Vertical angles are congruent (equal). • Two angles are vertical angles if their sides form two pairs of opposite rays. • The sum of the measures of angles • that form a linear pair is 180°. 150º 30º 150º 30º

  8. Supplementary angles : • Two angles are Supplementary angles if the sum of their measures is 90°. • Each angle is the Supplement of the other. • Supplementary angles can be adjacent or nonadjacent. 40º 120º 60º 140º Adjacent and Supplementary Angles Supplementary Anglesbut not Adjacent

  9. Complementary angles : • Two angles are Complementary angles if the sum of their measures is 90°. • Each angle is the complement of the other. • Complementary angles can be adjacent or nonadjacent. 30º 40º 50º 60º Adjacent and Complementary Angles Complementary Anglesbut not Adjacent

  10. Practice Time!

  11. Directions:Identify each pair of angles as vertical, supplementary, complementary, or none of the above.

  12. 120º 60º

  13. 120º + 60º = 180º Supplementary Angles

  14. 60º 30º

  15. 30º + 60º = 90º Complementary Angles

  16. 75º 75º

  17. Vertical Angles

  18. 60º 40º

  19. THINK AGAIN! None of the above

  20. 60º 60º

  21. Vertical Angles

  22. 135º 45º

  23. Sure Check Again! 135º + 45º = 180º Supplementary Angles

  24. 25º 65º

  25. Sure Check Again! 25º + 65º = 90º Complementary Angles

  26. 90º 40º 50º

  27. Complementary Angles Sure Check Again! 50º + 90º + 40º = 180º Is it a pair? Oops! NO None of the above

  28. Directions:Determine the missing angle.

  29. ?º 45º

  30. Working: Supplementary Angles 180º - 45º = 135º 135º 45º

  31. ?º 65º

  32. Working: Complementary Angles 90º - 65º = 25º 25º 65º

  33. ?º 35º

  34. Working: Vertical Angles so 35º 35º 35º

  35. ?º 50º

  36. Working: Supplementary Angles 130º + 50º = 180º 130º 50º

  37. ?º 140º

  38. Working: Vertical Angles so 140º 140º 140º

  39. ?º 40º

  40. Working: Complementary Angles 90º - 40º = 50º 50º 40º

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