what is m∠u? m∠u = °
what is m∠u? m∠u = °
Answer
Explanation:
Step1: Recall inscribed - angle theorem
The measure of an inscribed angle is half the measure of its intercepted arc.
Step2: Identify the intercepted arc
The inscribed angle $\angle U$ intercepts arc $TV$. The central - angle corresponding to arc $TV$ is $36^{\circ}$.
Step3: Calculate the measure of $\angle U$
By the inscribed - angle theorem, $m\angle U=\frac{1}{2}\times$ measure of arc $TV$. Since the measure of the central angle of arc $TV$ is $36^{\circ}$, then $m\angle U = 18^{\circ}$.
Answer:
$18$