The quadrilateral below is a parallelogram. Determine the value of x.
You are given that angle NMK = 137.
+152 i am going to assume that you are the same Guest who has posted multiple questions like these about parallelograms.
again, in a parallelogram, the opposite angles are congruent.
so, angle x is congruent to angle NMK.
angle x = 137 degrees.
if you have any more problems like these, i'd recommend you review the previous solutions i / other users have given you, and give those problems a shot! you can do it! 
here is a site that explains more about parallelograms too:
https://www.mathplanet.com/education/geometry/quadrilaterals/properties-of-parallelograms
hope this helped! :)
