Question

practice with inscribed angle theorems and corollaries an
the angle formed by a tangent and chord theorem
what is the measure of $overset{\frown}{qs}$?
$\boldsymbol{square}^circ$
in the circle, $angle qrs = 84^circ$

Explanation:

Step1: Recall inscribed arc theorem

The measure of an inscribed angle is half the measure of its intercepted arc. So, the intercepted arc $\overset{\frown}{QS}$ is twice the inscribed angle $\angle QRS$.

Step2: Calculate arc measure

$\text{Measure of } \overset{\frown}{QS} = 2 \times 84^\circ$

Answer:

$168^\circ$