Answer
$\angle V$ is $36^{\circ}$
Work Step by Step
Since $\overline{VU}$ = $\overline{VT}$, we know this is an isosceles triangle.
Meaning: $\angle T$ = $\angle U$
We know that:
$\angle TVU = 180^{\circ}$
$\angle T = 72^{\circ}$
Therefore $\angle U = 72^{\circ}$
$\angle V = 180^{\circ} - 2(72^{\circ})$
$\angle V = 180^{\circ} - 144$
$\angle V = 36^{\circ}$
