Question

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 $\triangle PQR$ and $\triangle TUV$, $\angle T$ corresponds to $\angle P$.

Step3: Calculate $\angle P$

In $\triangle PQR$, using the angle - sum property of a triangle ($\angle P+\angle Q+\angle R = 180^{\circ}$), where $\angle Q = 35^{\circ}$ and $\angle R=80^{\circ}$. So, $\angle P=180^{\circ}-(35^{\circ} + 80^{\circ})=65^{\circ}$.

Answer:

$65$