Question

△wxy ~ △efd. what are m∠w and m∠d? m∠w = \square° m∠d = \square°

Explanation:

Step1: Find $\angle D$ in $\Delta EFD$

The sum of angles in a triangle is $180^\circ$. Calculate $\angle D$:
$$m\angle D = 180^\circ - 57^\circ - 75^\circ = 48^\circ$$

Step2: Match congruent angles (similar triangles)

Similar triangles have congruent corresponding angles. $\angle W$ corresponds to $\angle E$, so:
$$m\angle W = m\angle E = 75^\circ$$

Answer:

$m\angle W = 75^\circ$
$m\angle D = 48^\circ$