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Lesson 1: Angles and Angle Classification

Lesson 1: Angles and Angle Classification. ray. vertex. ray. Angles. A shape formed by two rays sharing a common endpoint; contains two rays and a vertex. vertex —point common to two rays of a triangle or two sides of a polygon.

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Lesson 1: Angles and Angle Classification

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  1. Lesson 1: Angles and Angle Classification

  2. ray vertex ray Angles • A shape formed by two rays sharing a common endpoint; contains two rays and a vertex vertex—point common to two rays of a triangle or two sides of a polygon ray—has one endpoint and goes infinitely in one direction

  3. Naming Angles • An angle is named by three letters. The vertex must be in center. A 1 B C

  4. 4 1 3 5 2 Types of Angles • Acute angle: An angle whose measure is greater than zero degrees and less than 90 degrees Which angles are not acute?

  5. 4 1 3 5 2 Types of Angles • Right angle: Angle that measures 90 degrees Which angle is a right angle?

  6. 4 1 3 5 2 Types of Angles • Obtuse angle: One angle measures greater than 90 degrees and less than 180 degrees Which angle is an obtuse angle?

  7. Straight Angle • Straight angle: A line that goes infinitely in both directions and measures 180 degrees Which is not a straight angle? 2 1 This is a ray. It only goes in one direction.

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

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

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

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

  12. Vertical angles are opposite one another. 75º 105º 105º 75º

  13. Vertical angles are opposite one another. 75º 105º 105º 75º

  14. Vertical angles are congruent (equal). 150º 30º 150º 30º

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

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

  17. Practice Time!

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

  19. #1 120º 60º

  20. #1 120º 60º Supplementary Angles

  21. #2 75º 75º

  22. #2 Vertical Angles 75º 75º

  23. #3 25º 65º

  24. #3 25º 65º Complementary Angles

  25. Directions:Determine the missing angle.

  26. #1 ? 45º

  27. #1 135º 45º

  28. #2 ? 65º

  29. #2 25º 65º

  30. #3 ? 35º

  31. #3 35º 35º

  32. #4 ? 50º

  33. #4 130º 50º

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