1. 1.18 – — – (-6) 2.(2 3 – 3) (-7) 3.8X – 24 = -96 4.-3 – 14 5.-8 8 6.2 2/4 + 1 1/3 7.6 ¼ ÷ 7 ½ 16 4

2. Splash Screen

3. Main Idea/Vocabulary angle degrees vertex congruent angles right angle Classify angles and identify vertical and adjacent angles. Identify complementary and supplementary angles and find missing angle measures. acute angle obtuse angle straight angle vertical angles adjacent angles complementary angles supplementary angles

4. Example 1 Naming Angles Name the angle at the right.  Use the vertex as the middle letter and a point from each side.  FGH or  HGF  Use the vertex only.  G  Use a number.  2 Answer: The angle can be named in four ways:  FGH,  HGF,  G,  2.

5. 1.A 2.B 3.C 4.D Example 1 A.  RST B.  T C.  3 D.  S Which of the following is not a name for the angle below?

6. KC 1

7. Example 2 Classify Angles Classify the angle as acute, obtuse, right, or straight. Answer: The angle is exactly 180°, so it is a straight angle.

8. 1.A 2.B 3.C 4.D Example 2 A.acute B.obtuse C.right D.straight Classify the angle as acute, obtuse, right, or straight.

9. Example 3 Classify Angles Classify the angle as acute, obtuse, right, or straight. Answer: The angle is less than 90°, so it is an acute angle.

10. 1.A 2.B 3.C 4.D Example 3 A.acute B.obtuse C.right D.straight Classify the angle as acute, obtuse, right, or straight.

11. KC 2

12. Example 4 Since  3 and  5 are opposite angles formed by the intersection of two lines, they are vertical angles. Since  3 and  4 share a common side and vertex and do not overlap, they are adjacent angles. Similarly,  4 and  5 are adjacent angles.

13. Example 4 Answer:  3 and  5 are vertical angles.  3 and  4 are adjacent angles.  4 and  5 are adjacent angles.

14. 1.A 2.B 3.C 4.D Example 4 For the figure shown, which of the following is true? A. B. C. D.

15. KC 1

16. Example 1 Identify Angles Classify the pair of angles as complementary, supplementary, or neither. 128° + 52° = 180° Answer: The angles are supplementary.

17. 1.A 2.B 3.C Example 1 A.complementary B.supplementary C.neither Classify the pair of angles as complementary, supplementary, or neither.

18. Example 2 Identify Angles Classify the pair of angles as complementary, supplementary, or neither.  x and  y form a right angle. Answer: So, the angles are complementary.

19. 1.A 2.B 3.C Example 2 A.complementary B.supplementary C.neither Classify the pair of angles as complementary, supplementary, or neither.

20. Example 3 Find a Missing Angle Measure ALGEBRA Angles PQS and RQS are supplementary. If m  PQS = 56°, find m  RQS. WordsThe sum of the measures of  PQS and  RQS is 180°. VariableLet x represent the measure of  RQS. Equation56 + x = 180

21. Example 3 Find a Missing Angle Measure Answer: The measure of  RQS is 124°.

22. 1.A 2.B 3.C 4.D Example 3 A.22° B.67° C.157° D.337° Angles MNP and KNP are complementary. If m  MNP = 23°, find m  KNP.

23. End of the Lesson