A transversal is a line that intersects two or more other lines. When it intersects parallel lines, many angles are congruent. Let's take a peek at what this means. Lines k and j are parallel. Line l is a transversal.
As we mentioned before, when this happens we get a bunch of pairs of congruent angles. These pairs have nifty vocabulary terms to go with them. Here they are:
Look Out: these pairs of angles are congruent only when the transversal cuts parallel lines.
Lines j and k are parallel.
Lines m, n, and o are parallel.
What angles are corresponding to ?
What is the measure of ?
Which angles have measurements of 75°?
Which angles have measures of 105°?