ANGLE PAIRS

1. Exploring
Angle Pairs

2. Supplementary
angles
Complementary
angles
Vertical
angles
Adjacent
angles
Pairs of Angles
Line pairs

3. Adjacent angles are
angles that share a
common side and
have the same vertex,
but have no interior
points in common.
Adjacent Angles

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

5. Linear Pair of Angles
Two angles form a
linear pair if and
only if they are
adjacent and their
non-common sides
are opposite rays.

6. Two angles are
complementary
if and only if the
sum of their
degree measures
is 90.
Complementary Angles

7. Two angles are
supplementary if
and only if the
sum of their
degree measures
is 180.
Supplementary Angles

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

9. Two angles are vertical
if and only if they are
two nonadjacent
angles formed by a pair
of intersecting lines.
Vertical angles are
congruent
Vertical Angles

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

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

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

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

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

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

16. Practice Time!

17. Directions:
Identify each pair of angles as
Vertical, Supplementary or
Linear Pair, Complementary,
Adjacent,
or none of the above.

18. #1
60º
120º

19. #2
60º
30º

20. #3
75º
75º

21. #4
60º
40º

22. #5
60º
60º

23. #6
45º
135º

24. #7
65º
25º

25. #8
50º
90º

26. Answers

27. #1
60º
120º
Supplementary
Angles

28. #2
60º
30º
Complementary
Angles

29. #3
75º
75º
Vertical Angles

30. #4
60º
40º
None of the above

31. #5
60º
60º
Vertical Angles

32. #6
45º
135º
Supplementary Angles

33. #7
65º
25º
Complementary Angles

34. #8
50º
90º
None of the above

35. 1. Determine the missing angle.
2. Name the pair of angles.
Directions:

36. #1
45º
?º

37. #2
65º
?º

38. #3
35º
?º

39. #4
50º
?º

40. #5
140º
?º

41. #6
40º
?º

42. Sample Problem 7:
Tell whether the angles are only adjacent,
adjacent and form a linear pair, or not adjacent.

43. Sample Problem 8:
Tell whether the angles are only adjacent,
adjacent and form a linear pair or not adjacent.

44. Sample Problem 9:
Name a pair of adjacent complementary angles.

45. Sample Problem 10:
Name a pair of adjacent supplementary
angles.

46. Answers

47. #1
45º
135º

48. #2
65º
25º

49. #3
35º
35º

50. #4
50º
130º

51. #5
140º
140º

52. #6
40º
50º

53. Sample Problem 7:
Tell whether the angles are only adjacent,
adjacent and form a linear pair, or not adjacent.

54. Sample Problem 8:
Tell whether the angles are only adjacent,
adjacent and form a linear pair or not adjacent.

55. Sample Problem 9:
Name a pair of adjacent complementary angles.

56. Sample Problem 10:
Name a pair of adjacent supplementary
angles.