if m?PXY = 64.36°, what is m?XYS ?

Question

Transversal CD←→ cuts parallel lines PQ←→ and RS←→ at points X and Y, respectively. Points P and R lie on one side of CD←→ , while Q and S lie on the other side. If
m∠PXY = 64.36°, what is m∠XYS ?

Answer 1

Start with a sketch.  If you draw it correctly, you should easily see that <PXY and <XYS are alternate interior angles, which means their measures are the same.  m<XYS = 64.36º.