Question

what is the measure of arc qr? 26° 52° 104° 128°

Explanation:

Step1: Recall inscribed - angle theorem

The measure of an inscribed angle is half the measure of the intercepted arc.

Step2: Identify the inscribed angle

The inscribed angle $\angle QSR = 52^{\circ}$.

Step3: Calculate the measure of arc $QR$

Let the measure of arc $QR$ be $x$. Then, by the inscribed - angle theorem, $\angle QSR=\frac{1}{2}x$. So, $x = 2\times\angle QSR$.
Substitute $\angle QSR = 52^{\circ}$ into the formula: $x=2\times52^{\circ}=104^{\circ}$.

Answer:

$104^{\circ}$