Answer
$x = 45^{\circ}$
Work Step by Step
In this exercise, we are given the sides that are opposite and adjacent to an unknown angle. We can use the tangent ratio to find $x$, the unknown angle:
tan $x = \frac{opposite}{adjacent}$
Let's plug in what we know:
tan $x = \frac{6}{6}$
Take $tan^{-1}$ of the fraction to find the measure of $x$:
$x = 45^{\circ}$