Given WIN=LUV with W=38 V=102 and I=7x+5 find the value of x

Trying to make sense of this, I will surmise that WIN is a triangle and those

given constants are the measure of the given angles.
Also that triangle WIN is probably similar to triangle LUV, making
W=L, I=U, and N= V

In the first triangle:
W + I + N = 180
38 + 7x+5 + N = 180
N = 137 - 7x

But 102 = 137 - 7x
7x = 35
x = 5