Geometry - Parallel lines

Here are some useful rules to help me calculate angles formed when parallel lines are bisected:

To find angle x - the alternate angles rule tells me that it is 37 degrees because alternate angles are equal.

To find angle z, the angles on a straight line rule tells me it is 110 degrees because angles on a straight line add to 180.

To find angle w, the angles in a triangle rule tells me that it is 33 degrees because angles in a triangle add up to 180.

To find angle y, the alternate angles rule tells me that it is 33 degrees because alternate angles are equal.

Am I right? Please comment if you have anything to talk about what my group is doing on geometry or to prove to me if I'm wrong on this problem. Posted by Anthony.