geometry

Hi tertre,

Since line AB is parallel to line CD, angle AXE is equal to CYX.

This means we can set angle AXE = angle CYX = x

Since AXE is 108º less than 3 times CYX, we have this:

$x+108=3x$

Solving for x, we get:

$x=54$

We know that AXE and CYX = 54º

Since AXE and BXY are congruent angles, we know that

$BXY=54º$

I hope this helps, 

Gavin