1. 7.G.5 Angles and Angle Relationships
Today you will learn how to draw and classify angles.

2. An angle is made up of two rays with a common endpoint.
Angles
An angle is made up of two rays with a common endpoint.
. A
The point where the ends meet is called the vertex. . C . B

3. You can use the symbol for an angle, ,to name an angle.
Naming Angles
You can use the symbol for an angle, ,to name an angle.
1.Use the vertex as the middle letter and a point from each side ABC or CBA
. A
2. Use the vertex only B
3. Use a number . C . B

4. Angles
Angles are classified according to their measures. Angles are measured in units called degrees.

5. Acute angles are less than 90 degrees.

6. Right angles are exactly 90 degrees.

7. Obtuse angles are greater than 90 degrees, but less than 180 degrees.

8. Straight angles measure exactly 180 degrees.

9. Classify the Angle Acute Obtuse Right Straight

10. Classify the Angle Acute Obtuse Right Straight

11. Classify the Angle Acute Obtuse Right Straight

12. Classify the Angle Acute Obtuse Right Straight

13. Classify the Angle Acute Obtuse Right Straight

14. Classify the Angle Acute Obtuse Right Straight

15. Classify the Angle Acute Obtuse Right Straight

16. Classify the Angle Acute Obtuse Right Straight

17. Classify the Angle Acute Obtuse Right Straight

18. Classify the Angle Acute Obtuse Right Straight

19. Classify the Angle Acute Obtuse Right Straight

20. Classify the Angle Acute Obtuse Right Straight

21. Classify the Angle Acute Obtuse Right Straight

22. Classify the Angle Acute Obtuse Right Straight

23. Complementary Angles
Two angle with a sum of 90˚

24. Supplementary Angles
Two angle with a sum of 180˚

25. Complementary Supplementary Neither

27. Complementary Supplementary
Neither
Supplementary

28. Complementary Supplementary Neither

29. Complementary Supplementary
Neither
Supplementary

30. Complementary Supplementary Neither

32. Complementary Supplementary Neither

33. Complementary Supplementary Neither

35. Complementary Supplementary Neither

37. Complementary Supplementary Neither

38. Complementary Supplementary Neither

39. Protractors are used to measure angles.
Measuring Angles
Protractors are used to measure angles.

40. Measuring Angles
To measure with the protractor, line up the vertex of the angle to the center of the hole at the middle bottom.
Make one edge of the angle line up with where there would be a 0.
Read on that scale where the other edge crosses.

41. Drawing Angles
To draw a 75 degree angle, draw a ray with endpoint A.
Place the center point of the protractor an A. Align the ray with 0 degrees.
Use the scale that begins with 0 degrees. Locate the mark labeled 75 degrees.
Draw the other side of the angle. A

42. Measure and classify the angle.
Measuring Angles
Measure and classify the angle.
110˚ , obtuse

43. Measure and classify the angle.
Measuring Angles
Measure and classify the angle.
70˚ , acute

44. Measure and classify the angle.
Measuring Angles
Measure and classify the angle.
70˚ , acute

45. Measure and classify the angle.
Measuring Angles
Measure and classify the angle.
178˚ , acute

46. Measure and classify the angle.
Measuring Angles
Measure and classify the angle.
120˚ , obtuse

47. Measure and classify the angle.
Measuring Angles
Measure and classify the angle.
15˚ , acute

48. Measure and classify the angle.
Measuring Angles
Measure and classify the angle.
30˚ , acute

49. Measure and classify the angle.
Measuring Angles
Measure and classify the angle.
90˚ , right

50. Measure and classify the angle.
Measuring Angles
Measure and classify the angle.
88˚ , acute

51. Measure and classify the angle.
Measuring Angles
Measure and classify the angle.
180˚ , straight

52. Adjacent angles share a common side..
Special Angles
Adjacent angles share a common side..
ABC and CBD
C .
. D
ABC and CBE
CBD and BDE
A .
B . . E

53. Special Angles
Vertical angles are
congruent.

54. Adjacent Angles Angles that share a common side. 1 and 2 2 and 3
The adjacent angles formed by
intersecting lines are supplementary
angles.

55. Vertical Angles
1 and 3
2 and 4

56. Vertical Adjacent Neither

57. Vertical Adjacent Neither
FAD and EAB
Neither

58. Vertical Adjacent Neither
COA and BOD
Vertical

59. Vertical Adjacent Neither
1 and 3
Adjacent

60. Vertical Adjacent Neither

61. Vertical Adjacent Neither

62. Vertical Adjacent Neither
3 and 2
Vertical

63. Vertical Adjacent Neither
ABD and KBC
Neither

64. Vertical Adjacent Neither
CAE and EAB
Adjacent

65. Vertical Adjacent Neither
ABD and DBK
Adjacent

66. Vertical Adjacent Neither
COB and BOD
Adjacent

67. Vertical Adjacent Neither
1 and 4
Vertical

68. Vertical Adjacent Neither
1 and 5
Neither

69. Vertical Adjacent Neither
7 and 6
Vertical

70. Find the Missing Angles
x = 104°
y = 76°
z = 104°

71. Find the Missing Angles
25°
x = 155°
y = 25° x z
z = 155° y

72. Find the Missing Anglesx
x = 40°
y = 40°
140° z
z = 140° y

73. Find the Missing Angles
COB = 110 °
110°
Find AOD
AOD = 110 °

74. Find the Missing Angles
COB = 110 °
110°
Find BOD
BOD = 70 °

75. Find the Missing Angles
2 = 170 °
170°
Find 3
110°
3 = 170°

76. Find the Missing Angles
2 = 170 °
170°
Find 1
110°
1 = 10°

77. Find the Missing Angles
x= 30° x 60

78. Transversal – a line that cuts through two or more lines
Parallel lines- two lines running side by side but never touch.
Transversal – a line that cuts through two or more lines

79. Alternate Interior Angles
interior angles on opposite sides of the transversal.
Alternate Interior
Angles are Congruent
3 and 6
4 and 5

80. Alternate Exterior Angles
– exterior angles on opposite sides of the transversal.
Alternate Exterior
Angles are Congruent
2 and 7
1 and 8

81. Corresponding Angles 2 and 6 4 and 8 1 and 5 1 and 8 Corresponding
– angles in the same position of each line in relation to the transversal
Corresponding
Angles are Congruent
2 and 6
4 and 8
1 and 5
1 and 8

82. Find the Missing Angles
1 = 75 °
2 = 105 °
3 = 105 °
4 = 75 °
5 = 75 °
6 = 105 °
7 = 105 °
8= 75 °