Question

what is m∠srt? m∠srt = °

Explanation:

Step1: Use congruent - triangle property

Since the two right - angled triangles are congruent (by the Hypotenuse - Leg congruence criterion as indicated by the equal hypotenuses and right angles), the non - right angles are equal. So, $v + 66^{\circ}=4v$.

Step2: Solve the equation for $v$

Subtract $v$ from both sides of the equation $v + 66^{\circ}=4v$. We get $66^{\circ}=4v - v$, which simplifies to $66^{\circ}=3v$. Then divide both sides by 3: $v=\frac{66^{\circ}}{3}=22^{\circ}$.

Step3: Find $m\angle SRT$

We know that $\angle SRT=v + 66^{\circ}$. Substitute $v = 22^{\circ}$ into the expression. So, $m\angle SRT=22^{\circ}+66^{\circ}=88^{\circ}$.

Answer:

$88$