these figures are congruent. what is m∠q?

Explanation:

Step1: Recall congruent - triangle property

Corresponding angles of congruent triangles are equal.

Step2: Identify corresponding angles

In congruent triangles $\triangle JHI$ and $\triangle QSR$, $\angle Q$ corresponds to $\angle H$.

Step3: Determine the measure of $\angle H$

Since $\angle H = 90^{\circ}$ (right - angle shown in $\triangle JHI$), then $m\angle Q=90^{\circ}$ because of the congruence of the two triangles.

Answer:

$90$