1. Lines and Angles

2. Learning Target I can… Name and classify angles

3. Angles Two rays that share the same endpoint form an angle. The point where the rays intersect is called the vertex of the angle. The two rays are called the sides of the angle.

4. We can specify an angle by using a point on each ray and the vertex. The angle below may be specified as angle ABC or as angle CBA; you may also see this written as ABC or as CBA. Note how the vertex point is always given in the middle.

5. Naming Angles 1) 2)

6. Which angles are the same measure?

7. Which angle measures 90˚?

8. Types of Angles Acute – Obtuse – Right – Straight –

9. 1. A. 90 ˚ B. 120 ˚ C. 46 ˚ D. 180 ˚ A. Acute B. Obtuse C. Right D. Straight

10. 2. A. Acute B. Obtuse C. Right D. Straight A. 90 ˚ B. 110 ˚ C. 49 ˚ D. 180 ˚

11. 3. A. Acute B. Obtuse C. Right D. Straight A. 90 ˚ B. 110 ˚ C. 40 ˚ D. 85 ˚

12. 4. A. Acute B. Obtuse C. Right D. Straight A. 92 ˚ B. 100 ˚ C. 165 ˚ D. 85 ˚

13. Using a Protractor

14. Center Mark Zero Edge Outer Scale Inner Scale

15. Step 2: Line up angle vertex at this point. Step 3: Line up zero edge Step 1: Ask yourself, acute or obtuse? Step 4: Read your angle measure

16. What is the measure of ECA shown below? C E A

17. What is the measure of angle FCS shown below? C F S

18. What is the measure of angle CAB shown below? C B A R

19. What is the measure of angle TRE shown below? E T R W Z

21. Two angles are Adjacent if they have a common side and a common vertex (corner point)angles Adjacent Angles

22. Name Pairs of Adjacent Angles _______ and _______

23. Angle CBD is 54°. What angle is adjacent to angle CBD?

24. Angle EBC is 58°. What angle is adjacent to angle EBC?

25. EXIT Estimate the measure of angle x. A. 10 ° B. 63° C. 95° D. 126°

26. Now, use a protractor on the same angles… 1.

27. Continued… 2.

28. Again… 3.

29. Next One… 4.

30. How close was your estimate?

31. Learning Target: I can… Identify complementary and supplementary angles

32. Review from yesterday…. 4 Types of Angles? Naming Angles? Measuring Angles?

34. Angles Supplementary: Complementary:

35. Are these angles complementary or supplementary? What is the measure of the missing angle? a.Supplementary, 18° b.Complementary, 18° c.Supplementary, 108° d.Complementary, 108° 72°

36. Are these angles complementary or supplementary? What is the measure of the missing angle? a.Supplementary, 75° b.Complementary, 75° c.Supplementary, 165° d.Complementary, 165° x 15˚

37. m GJC = 77˚ m LJC = ?

39. What is the measure of angle B? a.90° b.68° c.22° d.112° 112°B

41. 60˚ B What is the measure of angle B?

43. Review from Yesterday Supplementary Angles *Magic Number = 180˚ *Make a straight line Complementary Angles *Magic Number = 90˚ *Make a right angle

46. 45º C Find the measure of angle C. __________

47. Find the measure of angle B 72° B

48. The measure of angle COE is 123˚. What is the measure of angle BOC?

49. Angles of a Triangle The sum of the angles of a triangle is 180 ˚ 89˚ 12˚

53. Problem of the Day

54. Isosceles Triangles 2 sides are the same So 2 angles are the same

58. Find the measure of angle B

60. You try! Find the measure of angle B 17° 90° B

72. Stations

74. Station 1 A right triangle has a 40˚ angle. What is the measure of the third angle? What is the measure of each angle of an equilateral triangle? Station 2 A right triangle has a 40˚ angle. What is the measure of the third angle? What is the measure of each angle of an equilateral triangle? Station 2

75. Station 1 A right triangle has a 40˚ angle. What is the measure of the third angle? What is the measure of each angle of an equilateral triangle? Station 2 A right triangle has a 40˚ angle. What is the measure of the third angle? What is the measure of each angle of an equilateral triangle? Station 2

76. Station 3

78. Station 4

80. Station 5

81. Station 6

82. Station 7

83. Station 8 Find the measures of the missing angles. (A,B,C)

84. Learning Target I can… Find missing angles

88. Exit Find the measure of angle x: a.65° b.50° c.115° d.180° x65° 50°

89. Learning Target I can… Find missing angles

91. Exit Find the measure of angle a and b: a 65° 50° b

92. Exit If angle y = 48˚, what is angle x?

93. Learning Target I can… Ace my quiz!

94. Exit: Name a pair of complementary angles