We are asked to find the number value of the variable V in the image:
We are going to use the properties of angles that are formed among parallel lines by a transverse line since we are in the case of a parallelogram.
Notice that the angle 42 degrees is the same as the angle V because they are "alternate angles between parallel lines" crossed by a transverse line
V = 42 degrees.
W = 20 degrees
X = 87 degrees
so now we need to use the fact that the addition of all the angles should render 360 degrees
42 + 20 +Y +87 + 42 + 20 +Y + 87 = 360
So we can solve for Y now:
298 + 2 Y = 360
2 Y = 360 - 298
2 Y = 62
Then Y = 31 degrees
