Question

what is m∠s? write your answer as an integer or decimal. m∠s =

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 $\angle S$ intercepts arc $TU$ which has a measure of $103^{\circ}$.

Step3: Calculate the measure of $\angle S$

$m\angle S=\frac{1}{2}\times$ measure of arc $TU$. So $m\angle S = \frac{1}{2}\times103^{\circ}=51.5^{\circ}$

Answer:

$51.5$