what is m∠rqs? write your answer as an integer or decimal. m∠rqs = °
what is m∠rqs? write your answer as an integer or decimal. m∠rqs = °
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 $\angle RTQ = 93^{\circ}$, and the inscribed angle $\angle RQS$ subtends the same arc $\overset{\frown}{RS}$.
Step3: Calculate the measure of $\angle RQS$
By the inscribed - angle theorem, $m\angle RQS=\frac{1}{2}m\angle RTQ$. Since $m\angle RTQ = 93^{\circ}$, then $m\angle RQS=\frac{93}{2}=46.5^{\circ}$.
Answer:
$46.5$