Opposite angles of a rhombus have equal measure.
angle LNM= 23 (interior alternate angles here are angle LNM and angle KLN)
since ML =MN (sides of a rhombus are equal)
angle LNM = angle MLN = 23
angle LNK = 23 (interior alternate angles LNK and LNM )
angle x= 23 +23 = 46
angle y = 180 - (23+23)
= 180 - 46 = 134
in short,,
angle x= 46 and angle y = 134
hope it helps you