1. WARM UP: Identify the type of angles. Angles 5 and 7 Angles 8 and 11

2. - 3.2 - Using Parallel Lines and Transversals

3. Parallel Lines cut by a Transversal
Interactive Models
Example Example 2

4. Postulates and Theorems
1. Consecutive interior angles
are __________________ if and only if
the lines are _________________.
Supplementary
Parallel
2.The following angles are equal if and only if the lines are parallel.
_________________
Alternate Interior Angles
Corresponding Angles
Alternate Exterior Angles

5. EXAMPLE I
The measure of three of the numbered angles is 120°. Identify the angles. Explain your reasoning.

6. EXAMPLE II
Find the value of x.

7. EXAMPLE III
If m 3 = 68° and m 8 = (2x + 4)°, what is the value of x? Show your steps.

8. EXAMPLE III a. Find the value of x that makes m ║ n.

9. b. Find the value of x that makes m ║ n.

10. c. Find the value of x that makes m ║ n.

11. EXAMPLE V If , which lines must be parallel?