Question

uvwxy ~ defbc. what is ( mangle w )?
( mangle w = square^circ )

Explanation:

Step1: Identify congruent angles

Similar polygons have matching congruent angles. The correspondence is UVWXY ~ DEFBC, so $\angle W \cong \angle F$.

Step2: Get $\angle F$ measure

From the diagram, $m\angle F = 123^\circ$.

Step3: Assign measure to $\angle W$

Since $\angle W \cong \angle F$, $m\angle W = m\angle F = 123^\circ$.

Answer:

123°