The value of x is 40.
Solution:
Given ΔVDG and ΔVNG are similar triangles.
DG = 207, NQ = 138, GQ = 60, QV = x
To find the value of x.
In two triangles are similar, then the measures of the corresponding sides are in proportional to each other.
Substitute the given values.
Do cross multiplication, we get
Divide by 207 on both sides of the equation, we get
Hence the value of x is 40.