Answer
$m\angle W=92^{\circ}$
Work Step by Step
Given that the two triangles are similar, then their corresponding angles are congruent. Thus...
$m\angle R=m\angle U=67^{\circ}$ and
$m\angle S=m\angle V=21^{\circ}$
The sum of the interior angles of a triangle is $180^{\circ}$...
$180-67-21=92$
$m\angle W=92^{\circ}$
