The measure of angles POQ and angle POR are 24 degrees and 59 degrees respectively.
The measure of angle QOR can be obtained as:
[tex]m\angle\text{QOR}=m\angle POR\text{ - m}\angle POQ[/tex]
Thus,
[tex]\begin{gathered} m\angle QOR=59^0-24^0 \\ m\angle QOR=35^0 \end{gathered}[/tex]
Hence, the measure of angle qor is 35 degrees.
