1. Lets think back to….
ANGLE PROPERTIES

2. Naming Angles A 1 B C

3. Naming Angles OR OR M A T H 1 2

4. Interior = Inside A B C
Exterior = Outside

5. ACUTE ANGLES = Greater than 0 and less than 90
RIGHT ANGLES = Measure exactly 90
OBTUSE ANGLES = Greater than 90 and less than 180
STRAIGHT ANGLES = Measure exactly 180

6. Why can’t you name any of the angles S?
Angle Addition Postulate
Why can’t you name any of the angles S? T R S P

7. Example 1 R T 1 P S

8. Example 2 M N K 2 J Y

9. Example 3 A U L Y

10. Example 4
Angle Bisector cuts the angle into 2 equal parts. C F D E

11. Adjacent Angles
Two angles are adjacent if they share a common vertex and side, but have no common interior points. SIDE BY SIDE…shoulder to shoulder. NO
YES

12. Linear Pairs
Two adjacent angles are a linear pair if their noncommon sides are opposite rays. They form a straight line… SIDE BY SIDE…shoulder to shoulder. 1 2

13. Please Identify in your notes all LINEAR PAIRSh f e g j i m k

14. SOME POSSIBLE ANSWERS h f e g j i m k

15. MORE POSSIBLE ANSWERS j i m k h f e g

16. 1. Determine whether each statement is true or false.2
FALSE

17. 2. 4 5
TRUE

18. 3. 6 3
FALSE

19. C 4. 8 7 A T
TRUE

20. C 5. 8 7 A T
FALSE

21. Supplementary Angles
Two angles are supplementary if the sum of their measures is 180 degrees. Each angle is the supplement of the other. 1 2
These are supplements of each other because their angles add up to 180.

22. Example 1 Find the value of x.
This is on p. 16 of the Study Guide problem #2.

23. Example 2 Find the value of x.
This is on p. 16 of the Study Guide problem #3.

24. Example 3 Find the value of x.
This is on p. 16 of the Study Guide problem #3.

25. Complementary Angles
Two angles are complementary if the sum of their measures is 90 degrees. Each angle is the complement of the other. 1 2
These are complements of each other because their angles add up to be 90.

26. Example 4 Find the value of x.
This is on p. 16 of the Study Guide problem #1.

27. Example 5 Find the value of x.
This is on p. 16 of the Study Guide problem #6.

28. 1 5 2 4 3 Think back to the beginning of class… no
Are angles 1 and 2 a linear pair? no
Are angles 1 and 3 adjacent angles?
yes
Are angles 3 and 4 a linear pair?
Are angles 2 and 3 adjacent angles?
yes

29. 1 5 2 4 3 Now, think of what we talked about today. no
Are angles 4 and 5 supplementary angles? no
Are angles 2 and 3 complementary angles?
Are angles 4 and 3 supplementary angles?
yes
Are angles 2 and 1 complementary angles?
yes