Answer
$x=67.5$ units
$A=60^{\circ},B=95^{\circ}$ and $C=25^{\circ}$
Work Step by Step
Similar triangle have corresponding angles that are equal.
Thus, $A=60^{\circ},B=95^{\circ}$ and $C=25^{\circ}$.
Corresponding sides are proportional so:
$\dfrac{x}{45} = \dfrac{30}{20}$
Simplify.
$\dfrac{x}{45} = \dfrac{3}{2}$
Multiply both sides by $45$.
$x = 45\cdot \dfrac{3}{2}$
Simplify.
$x = 67.5$
Therefore, the missing length is $67.5$ units and the missing angles are $A=60^{\circ},B=95^{\circ}$ and $C=25^{\circ}$.
