3.2 Parallel lines and transversals

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

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

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

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

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

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

How do we find X?

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

How do we find X ?

How do we find X ?

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

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