what is m∠tsu? write your answer as an integer or decimal. m∠tsu = °
what is m∠tsu? write your answer as an integer or decimal. m∠tsu = °
Answer
Explanation:
Step1: Recall inscribed - angle theorem
The measure of an inscribed angle is half the measure of its intercepted arc's central angle.
Step2: Identify central and inscribed angles
The central angle $\angle TVU = 99^{\circ}$, and $\angle TSU$ is the inscribed angle that intercepts the same arc $\overset{\frown}{TU}$.
Step3: Calculate the measure of $\angle TSU$
By the inscribed - angle theorem, $m\angle TSU=\frac{1}{2}m\angle TVU$. Since $m\angle TVU = 99^{\circ}$, then $m\angle TSU=\frac{99}{2}=49.5^{\circ}$.
Answer:
$49.5$