what is m∠tvu? write your answer as an integer or decimal. m∠tvu = °

Explanation:

Step1: Recall inscribed - angle theorem

The measure of an inscribed angle is half the measure of the central angle that subtends the same arc.

Step2: Identify the central angle for arc TU

The central angle $\angle TWU$ that subtends arc $TU$ is $144^{\circ}$.

Step3: Calculate the measure of $\angle TVU$

Since $\angle TVU$ is an inscribed angle and $\angle TWU$ is the central angle subtending the same arc $TU$, by the inscribed - angle theorem, $m\angle TVU=\frac{1}{2}m\angle TWU$. So, $m\angle TVU = \frac{1}{2}\times144^{\circ}=72^{\circ}$.

Answer:

$72$