An angle bisector divides the angle into 2 angles of fewer measurements that is exactly half of the first angle
In this case, POR represents one of the angles that resulted after the division of POQ.
Then,
[tex]\begin{gathered} \measuredangle\text{POQ}=2\cdot\measuredangle\text{POR} \\ \measuredangle POQ=2\cdot38 \\ \measuredangle POQ=76 \end{gathered}[/tex]
The correct answer is 76°.
