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 $\triangle SQR$ and $\triangle WXY$, $\angle R$ corresponds to $\angle X$.

Step3: Determine the measure of $\angle R$

Since $\angle X = 38^{\circ}$, then $m\angle R=38^{\circ}$.

Answer:

$38$