Question

what is $m\angle prq$?
write your answer as an integer or decimal.
$m\angle prq = \square^\circ$
submit

Explanation:

Step1: Find arc $PQ$ measure

The total degrees in a circle is $360^\circ$. Subtract the given central angles:
$$m\overset{\frown}{PQ} = 360^\circ - 111^\circ - 128^\circ = 121^\circ$$

Step2: Calculate inscribed angle $\angle PRQ$

An inscribed angle is half its intercepted arc:
$$m\angle PRQ = \frac{1}{2} \times m\overset{\frown}{PQ} = \frac{1}{2} \times 121^\circ = 60.5^\circ$$

Answer:

$60.5$