Move point A until [math]\angle EGA\cong\angle GHC[/math]. What do you notice about lines AB and CD?

List the other angles that are congruent to [math]\angle EGA[/math].

What is the relationship between [math]\angle AGH[/math] and [math]\angle GHC[/math]?

List all of the angles that are congruent to [math]\angle GHC[/math].

Based on your observations, write a conjecture (rule) about the lines and angles in the diagram.