Answer
$x \approx 41.1^{\circ}$
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 A}{a} =\dfrac{\sin B}{b}\\\dfrac{\sin x^{\circ}}{27} =\dfrac{\sin 43^{\circ}}{28} \\ \sin x^{\circ}=\dfrac{27 \sin 43^{\circ}}{28} $
Rearrange the equation (1) as follows:
$x =\sin^{-1} (\dfrac{27 \sin 43^{\circ}}{28}) \approx 41.1^{\circ}$
