#### Answer

$x \approx 41^{\circ}$

#### Work Step by Step

In this exercise, we are given the side opposite to $\angle x$ and the side adjacent to $\angle x$. We can use the tangent ratio to find $x$:
tan $x = \frac{opposite}{adjacent}$
Let's plug in what we know:
tan $x = \frac{6}{7}$
Take $tan^{-1}$ of both sides to find the measure of $x$:
$x \approx 41^{\circ}$