Answer
$x=40$ units.
$A=50^{\circ},B=125^{\circ}$ and $C=5^{\circ}$.
Work Step by Step
Similar triangles have corresponding angles that are equal.
So $A=50^{\circ},B=125^{\circ}$ and $C=5^{\circ}$.
Corresponding sides are proportional thus.
$\dfrac{x}{50} = \dfrac{8}{10}$
Multiply both sides by $50$.
$x = 50\cdot \dfrac{8}{10}$
Simplify.
$x = 40$
Therefore, the missing length is $40$ units and the missing angles are $A=50^{\circ},B=125^{\circ}$ and $C=5^{\circ}$.