Question

these figures are congruent. what is m∠r?

Explanation:

Step1: Recall congruent - triangle property

Corresponding angles of congruent triangles are equal.

Step2: Identify corresponding angles

In congruent triangles $\triangle PQR$ and $\triangle XYW$, $\angle R$ corresponds to $\angle W$.

Step3: Find the measure of $\angle R$

Since $\angle W = 59^{\circ}$, then $m\angle R=59^{\circ}$.

Answer:

$59$