#### Answer

$\angle x=98^{\circ}$

#### Work Step by Step

We can see, that the sum of the two angles ($82^{\circ}$ and $x$) is a straight angle ($180^{\circ}$).
This means that the two angles are supplementary.
We can write the following equation:
$82^{\circ}+\angle x=180^{\circ}$
$\angle x=180^{\circ}-82^{\circ}$
$\angle x=98^{\circ}$