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?

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?

mathstudent55 · Answer

|dw:1395172015390:dw|

mathstudent55 · Answer

Is this pretty much the situation?

mathstudent55 · Answer

You are looking for k.

mathstudent55 · Answer

When two lines are cut by a transversal, certain pairs of angle have special names.
What is the name given to the pair of angles PXY and XYS?

anonymous · Answer

i was looking for m∠XYS? but i solve it . thanks for the help tho @mathstudent55

anonymous · Answer

so what was this answer

mathstudent55 · Answer

Angles PXY and SYX are called alternate interior angles.
When parallel lines are cut by a transversal, then alternate interior angles are congruent.

anonymous · Answer

Basically 64.36=64.36 so just look for the one that matches what I just said