these figures are congruent. what is m∠t?

Explanation:

Step1: Recall congruent - triangle property

Corresponding angles of congruent triangles are equal.

Step2: Identify corresponding angles

In congruent triangles $\triangle DEF$ and $\triangle SUT$, $\angle T$ corresponds to $\angle F$.

Step3: Find the measure of $\angle F$

Given that in $\triangle DEF$, $\angle F = 61^{\circ}$. Since $\angle T=\angle F$ (because of congruence), $m\angle T = 61^{\circ}$.

Answer:

$61$