In the figure below, D is a point on segment CE such that AD || BE and A is not on BC. Line segments AD and BC intersect at P.

Can

And... what's the question?¿?

OMG SORRY! The question is: Can angle CAD=angle CBE? Explain.

Angles CAD and CBE can be equal! We can't let A be on BC, but we can adjust the position of B so that AC and BC are very close to each other. Then if they are close enough, since AD and BE are parallel, we can make anlges CAD and CBE equal.

Hmmmmmm..... wait but I thought you can't change where A is.... how do you know we can make an adjustment like that?