1. 3.2 Parallel lines and transversals

2. Things to remember
A transversal cuts across two or more lines at unique points
We will be looking at corresponding, alternate interior, alternate exterior and consecutive angles

3. Corresponding angles postulate
If two parallel lines are cut by a transversal then their corresponding angles are congruent

4. Alternate interior angles theorem
If two parallel lines are cut by a transversal then their alternate interior angles are congruent

5. Alternate exterior angles theorem
If two parallel lines are cut by a transversal then their alternate exterior angles are congruent

6. Consecutive angles
If two parallel lines are cut by a transversal then their consecutive angles will be supplementary

7. Review
If lines are parallel and cut by a transversal the following is true
Alternate interior, alternate exterior, and corresponding angles are congruent
Consecutive angles are supplementary

8. How do we find X?

9. If the lines are parallel, how do we find X?

10. How do we find X ?

11. How do we find X ?

12. If line AF is parallel to the segment CB, which angles are congruent?

13. Can I prove that all triangles have 180 as the sum of their angles with this information?
M<FAC + m<CAB + m<EAB = and m<C + m<CAB +m<B = 180