Comparing the two triangle above, we can state:
a) The side WZ = side YZ
b) The side VZ = XZ
c) Angle WZV = Angle XZY (Vertical Angles)
d) XY is parallel to WV
e) So, Angle XYZ = Angle VWZ
Thus, we can conclude that the two triangles are exactly equal in measure. All the sides and angles of the triangle have the same measure.
So, Side WV = Side XY
12x - 61 = 3x + 2
12x - 3x = 2 + 61
9x = 63
x = 7
So, length of WV will be = 12(7) - 61 = 23
Thus, the answer to this question is 23
