Question

these figures are congruent. what is m∠t? save answer

Explanation:

Step1: Recall congruent - triangle property

Corresponding angles of congruent triangles are equal.

Step2: Identify corresponding angles

In congruent triangles $\triangle STR$ and $\triangle VWX$, $\angle T$ corresponds to $\angle V$.

Step3: Find the measure of $\angle V$

In $\triangle VWX$, we know one angle is $90^{\circ}$ (right - angle symbol) and another is $32^{\circ}$. Using the angle - sum property of a triangle ($\angle V+\angle W+\angle X = 180^{\circ}$), and since $\angle W = 90^{\circ}$ and $\angle X=58^{\circ}$, we can also directly see that $\angle V = 58^{\circ}$. Since $\angle T$ and $\angle V$ are corresponding angles of congruent triangles, $m\angle T=m\angle V$.

Answer:

$58$