Question

no additional details were added for this assignment.
question 8
what is the measure of \\( \angle v t u \\) ?
use the keypad to enter your answer in the box.
the measure of \\( \angle v t u \\) is \\( \square \\) degrees

Explanation:

Step1: Recall the 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 and the inscribed angle

The central angle \(\angle VAU = 144^{\circ}\), and the inscribed angle is \(\angle VTU\).

Step3: Calculate the measure of \(\angle VTU\)

Using the formula \(\angle VTU=\frac{1}{2}\angle VAU\), substitute \(\angle VAU = 144^{\circ}\) into the formula. So \(\angle VTU=\frac{144^{\circ}}{2}\)

Answer:

\(72\)