Question

these figures are congruent. what is m∠v?

Explanation:

Step1: Recall congruent - triangle property

Corresponding angles of congruent triangles are equal.

Step2: Identify corresponding angles

In congruent triangles $\triangle PQR$ and $\triangle UVT$, $\angle V$ corresponds to $\angle Q$.

Step3: Find the measure of $\angle Q$

From the figure, $m\angle Q = 79^{\circ}$. Since $\angle V$ and $\angle Q$ are corresponding angles of congruent triangles, $m\angle V=m\angle Q$.

Answer:

$79$