Answer
$ \approx 54.1^0$
Work Step by Step
From the law of sines
$\dfrac {23}{\sin \theta }=\dfrac {12}{\sin 25}\Rightarrow \sin \theta =\dfrac {23\times \sin 25}{12}\approx 0.81\Rightarrow \theta \approx \arcsin ^{-1}\left( 0.81\right) \approx 54.1$
