Answer
$x=8$ units
$A=30^{\circ},B=75^{\circ}$ and $C=75^{\circ}$
Work Step by Step
Similar triangles have their corresponding angles equal.
Thus, $A=30^{\circ},B=75^{\circ}$ and $C=75^{\circ}$.
Their corresponding sides are proportional, therefore:
$\dfrac{x}{16} = \dfrac{6}{12}$
Simplify.
$\dfrac{x}{16} = \dfrac{1}{2}$
Multiply both sides by $16$.
$x = \dfrac{16}{2}$
$x = 8$
Thus, the missing length is $8$ units and the missing angles are $A=30^{\circ},B=75^{\circ}$ and $C=75^{\circ}$.
