Question

these figures are congruent. what is m∠w?

Explanation:

Step1: Recall congruent - triangle property

Corresponding angles of congruent triangles are equal.

Step2: Identify corresponding angles

In congruent triangles $\triangle UST$ and $\triangle WXY$, $\angle W$ corresponds to $\angle U$.

Step3: Determine angle measure

Since $\angle U = 56^{\circ}$, then $m\angle W=56^{\circ}$.

Answer:

$56$