Answer
$x=67.5
\\A=60^o
\\B=95^o
\\C=25^o$
Work Step by Step
RECALL:
Two similar triangles have:
(1) corresponding angles that are congruent; and
(2) corresponding sides that are proportional
Since corresponding angles are congruent, then
$A=60^o
\\B=95^o
\\C=25^o$
Corresponding sides of similar triangles are proportional.
Thus,
$\dfrac{30}{20}=\dfrac{x}{45}$
Cross-multiply to obtain:
$\begin{array}{ccc}
&20(x) &= &30(45)
\\&20x &= &1350
\\&\frac{20x}{20} &= &\frac{1350}{20}
\\&x &= &67.5\end{array}$
