1. Chapter 3.2 Notes: Use Parallel Lines and Transversals
Goal: You will use angles formed by parallel lines and transversals.

2. Postulate 15 Corresponding Angles Postulate:
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Ex.1: The measure of three of the numbered angles is 120o. Identify the angles. Explain your reasoning.

3. Theorem 3.1 Alternate Interior Angles Theorem:
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
Theorem 3.2 Alternate Exterior Angles Theorem:
If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.
Theorem 3.3 Consecutive Interior Angles Thm:
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.

4. Ex.2: Find the value of x.

5. Ex.3: Find the value of x.

6. Ex. 4: Use the diagram below. a
Ex.4: Use the diagram below. a. If , find and Tell which postulate or theorem you used in each case. b. If and , what is the value of x? Show your steps.

7. Ex.5: Find the value of x and y. Ex.6: Find and

8. Ex.7: Find the

9. Ex.8: Find the value of x.