Find the measure of angle Y for the kite showing below.

In the kite two of the angles like W and Y are congruent. m∠W =m∠Y
Also sum of all interior angles in the quadrilateral =360⁰.
So, we can write
87 +38 + 2*m∠Y= 360
2*m∠Y = 360-87-38
2*m∠Y= 235
m∠Y=235/2=117.5⁰