Solve for x? Show the equation you used and your work.

Jan 17, 2017

See below.

Explanation:

Supposing that $\left[V W\right]$ is parallel to $\left[S U\right]$ then the Thales of Miletus theorem can be applied

$\frac{S T}{V T} = \frac{U T}{W T}$ so

$\frac{6 + 14}{14} = \frac{\left(x + 4\right) + 21}{21}$ then

$x = \frac{20 \cdot 21}{14} - 25$