what is m∠qsr? write your answer as an integer or decimal. m∠qsr = °
what is m∠qsr? write your answer as an integer or decimal. m∠qsr = °
Answer
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 central and inscribed angles
The central angle $\angle QTR = 91^{\circ}$, and the inscribed angle $\angle QSR$ subtends the same arc $\overset{\frown}{QR}$.
Step3: Calculate the measure of $\angle QSR$
By the inscribed - angle theorem, $m\angle QSR=\frac{1}{2}m\angle QTR$. Since $m\angle QTR = 91^{\circ}$, then $m\angle QSR=\frac{91}{2}=45.5^{\circ}$.
Answer:
$45.5$