One last geometry ? For today?

Due to the trapezoid being isosceles, 
you can deduce that angle XYZ = angle WZY = 50 => 35+angle XYW = 50 => angle XYW = 15.

Denote angle YXW  and angle XWY as a and b respectively

Within triangle XYW, 
15+angle YXW+angle XWY = 180 (angle sum of triangle) => a+b = 165
By the isosceles property,
angle XWZ = angle YXW => 95+b = a

Solving the two equations,
2b+95 = 165 => b = 35, a = 130.

The least and greatest are thus angle XYW and angle YXW. 

Isosceles trapezoid can be defined as a trapezoid in which both legs and both base angles are of the same measure.
The least and greatest angles in △YXW:
c ∠XYW, ∠YXW