Question

uvwxy ~ efbcd. what is ( mangle b )?
( mangle b = square^circ )

Explanation:

Step1: Recall similar polygon property

Corresponding angles of similar polygons are congruent.

Step2: Identify corresponding angles

From the similarity statement $UVWXY \sim EFBCD$, $\angle B$ corresponds to $\angle X$.

Step3: Match angle measures

$m\angle X = 92^\circ$, so $m\angle B = 92^\circ$.

Answer:

$92^\circ$