Question

find the measure of the inscribed angle

Explanation:

Step1: Find arc PRQ's supplement

A full circle is $360^\circ$. Subtract the given arc measure.
$360^\circ - 194^\circ = 166^\circ$

Step2: Calculate inscribed angle

Inscribed angle is half its intercepted arc.
$\frac{1}{2} \times 166^\circ = 83^\circ$

Answer:

$83^\circ$