Answer
$33.5^{\circ}$
Work Step by Step
Apply the Law of Sines.
$\dfrac{\sin A}{a} =\dfrac{\sin B}{b} =\dfrac{\sin C}{c} $
Rearrange the above two ratio setup to obtain:
$\dfrac{\sin B}{b} =\dfrac{\sin C}{c}\\\dfrac{\sin x^{\circ}}{10} =\dfrac{\sin 96^{\circ}}{ 18} \\ \sin x^{\circ}=\dfrac{10 \sin 96^{\circ}}{18} $
In order to calculate $x^{\circ}$, we need to rearrange the equation (1) as follows:
$x^{\circ} =\sin^{-1} (\dfrac{10 \sin 96^{\circ}}{18}) \approx 33.5^{\circ}$
