Intro to Angles Pre-Algebra Geometry

1. January 5, 2022 • Good Morning!

2. Name- _____________________________ Angles Warm-Up Place anto indicate if angles below are supplementary or complementary. Then give the measurement for the value of x. • If two angles add up to 180°they are supplementary angles. • If two angles add up to 90°, they are complementary angles. One angle of a pair of complementary angles is given. What is the measurement of the other angle? 1. 45° ________ 2. 82° ________ One angle of a pair of supplementary angles is given. What is the measurement of the other angle? 3. 173° ________ 4. 75° ________ 5. 6.

3. 18:50min

5. Vocabulary Two straight lines that will never cross each other

6. Vocabulary Two straight lines that will never cross each other A line that passes through two other lines

7. Vocabulary Two straight lines that will never cross each other A line that passes through two other lines Two angles that have a common vertex and share a side, but do not overlap

8. Vocabulary Two straight lines that will never cross each other A line that passes through two other lines Two angles that have a common vertex and share a side, but do not overlap Does not have a common vertex and a shared side

9. Vocabulary Two straight lines that will never cross each other A line that passes through two other lines Two angles that have a common vertex and share a side, but do not overlap Does not have a common vertex and a shared side When 2 lines intersect, opposite angles are formed and they are equal

10. Vocabulary Two straight lines that will never cross each other A line that passes through two other lines Two angles that have a common vertex and share a side, but do not overlap Does not have a common vertex and a shared side When 2 lines intersect, opposite angles are formed and they are equal Angles on opposite sides of the transversal line.

11. Vocabulary

12. Vocabulary When a transversal crosses parallel lines, the matching angles are equal

13. Vocabulary When a transversal crosses parallel lines, the matching angles are equal Angles always equal 180 degrees, adjacent angles

14. Vocabulary When a transversal crosses parallel lines, the matching angles are equal Angles always equal 180 degrees, adjacent angles Angles that add up to 90 degrees

15. Vocabulary When a transversal crosses parallel lines, the matching angles are equal Angles always equal 180 degrees, adjacent angles Angles that add up to 90 degrees Angles that add up to 180 degrees

16. Vocabulary When a transversal crosses parallel lines, the matching angles are equal Angles always equal 180 degrees, adjacent angles Angles that add up to 90 degrees Angles that add up to 180 degrees

17. Vocabulary Angles in the same position on different parallel lines. Adjacent angles that form a straight line Angles that add up to 90 degrees Angles that add up to 180 degrees Angles with the same measurement

18. A 6 7 8 5 3 4 1 E

19. ° ° ° ° ° ° °

20. ° 148° ° ° ° ° °

21. 32° 148° ° ° ° ° °

22. 32° 148° 32° ° ° ° °

23. 32° 148° 32° 148° ° ° °

24. 32° 148° 32° 148° 32° ° °

25. 32° 148° 32° 148° 32° 148° °

26. 32° 148° 32° 148° 32° 148° 32°

27. ° ° °

28. Writing Equations To Find X A B C C ? ? A A 4x 8x - 25 ? 2x + 42 7x + 10 76° 2x - 10 B B 65 - x C Lines A and B are parallel. Line C is a transversal. Lines A and B are parallel. Line C is a transversal. Lines A and B are parallel. Line C is a transversal. Write an equation to find x: ______________________ Solve for x: x = ______ Write an equation to find x: ______________________ Solve for x: x = ______ Write an equation to find x: ______________________ Solve for x: x = ______ 2x - 10 = 65 - x 2x + 42 = 4x 8x - 25 + 7x + 10 = 180 25 21 13 Then, find the missing angle: ? = Then, find the missing angle: ? = Then, find the missing angle: ? = 101° 76° 40°

31. Good Morning! 1/06/22

32. Name- ______________________________ Warm-Up Date- _______________________________ Find the measure of the missing angle. Hint- A straight lines measures 180° ______________ Angle b- __________ Angle c- __________ Hint: Angle b and the angle that is 147° are vertical angles. Angle b is supplementary to angle c.

33. Answer Key Find the measure of the missing angle. Hint- A straight lines measures 180° ______________ 147 degrees Angle b- __________ Angle c- __________ Hint: Angle b and the angle that is 147° are vertical angles. Angle b is supplementary to angle c. a = 159 33 degrees 180 - 21 = 159

34. -12min

35. Vocabulary Two straight lines that will never cross each other A line that passes through two other lines Two angles that have a common vertex and share a side, but do not overlap Does not have a common vertex and a shared side When 2 lines intersect, opposite angles are formed and they are equal Angles on opposite sides of the transversal line.

36. Vocabulary Angles in the same position on different parallel lines. Adjacent angles that form a straight line Angles that add up to 90 degrees Angles that add up to 180 degrees Angles with the same measurement

37. Vertical Angles Corresponding Angles Same-Side Interior Angles Alternate Exterior Angles Same-Side Exterior Angles Alternate Interior Angles

38. Vertical Angles Corresponding Angles Same-Side Interior Angles Alternate Exterior Angles Same-Side Exterior Angles Alternate Interior Angles

41. A E 7 8 1 3 6 4 5

42. A 6 7 8 5 3 4 1 E

43. ° ° ° ° ° ° °

44. ° 148° ° ° ° ° °

45. 32° 148° ° ° ° ° °

46. 32° 148° 32° ° ° ° °

47. 32° 148° 32° 148° ° ° °

48. 32° 148° 32° 148° 32° ° °

49. 32° 148° 32° 148° 32° 148° °

50. 32° 148° 32° 148° 32° 148° 32°