Answer
$A=60$, $B=95$, $C=25$ and $x=67.5$
Work Step by Step
Since the triangles are similar, then the angles are equal. That is
$A=60$, $B=95$, $C=25$.
To find $x$, we set up a ratio between corresponding sides:
$$
\frac{x}{45}=\frac{30}{20}=\frac{3}{2}\Longrightarrow x=\frac{3\times45}{2}=67.5
. $$