1. Objectives
Identify adjacent, vertical, complementary, and supplementary angles.
Find measures of pairs of angles.

2. Vocabulary adjacent angles linear pair complementary angles
supplementary angles
vertical angles

4. Example 1: Identifying Angle Pairs
Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent.
A. AEB and BED
B. AEB and BEC
C. DEC and AEB

5. Example 1Continued
Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent.
D. 5 and 6
E. 7 and SPU
F. 7 and 8

7. complement of an angle =
supplement of an angle =

8. Example 2: Finding the Measures of Complements and Supplements
Find the measure of each of the following.
A. complement of F
B. supplement of G

9. Example 3: Using Complements and Supplements to Solve Problems
An angle is 10° more than 3 times the measure of its complement. Find the measure of the complement.

10. Four Steps to Problem-Solving:1 2 3 4

11. Example 4a:
Light passing through a fiber optic cable reflects off the walls of the cable in such a way that 1 ≅ 2, 1 and 3 are complementary, and 2 and 4 are complementary.
If m1 = 47°, find m2, m3, and m4.

12. Example 4b:
What if...? Suppose m3 = 27.6°. Find m1, m2, and m4.

13. _________________= two nonadjacent angles formed by two intersecting lines.
__________ are vertical angles, as are __________ .

14. Name the pairs of vertical angles.
Example 4
Name the pairs of vertical angles.