Question

WXYZ is a kite. angle WXY has a measure of 110 degrees and angle ZWX has a measure of 50 degrees. find the measure of angle XYW

Answer 1

XZ bisects angle WXY, so WXZ is 55°
The kite is symmetric, so XYZ is also 50°
The four angles add up to 360°, so WZY=150°
XZ also bisects WZY, so XZW = 75°
Now you have four right triangles, so you should have no trouble answering the question.

Answer 2

60