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 $\triangle OPQ$ and $\triangle UVW$, $\angle W$ corresponds to $\angle Q$.

Step3: Find the measure of $\angle Q$

From $\triangle OPQ$, we see that $m\angle Q = 41^{\circ}$. Since $\angle W$ and $\angle Q$ are corresponding angles of congruent triangles, $m\angle W=m\angle Q$.

Answer:

$41$