Answer
m$\angle$MOQ=34$^{\circ}$
Work Step by Step
Angles 5 and MON are supplementary.
m$\angle$MON=180-m$\angle$5
m$\angle$MON=180-112
m$\angle$MON=68$^{\circ}$
Angle MOQ is equal to half of angle MON because ray OQ bisects angle MON.
m$\angle$MOQ=$\frac{1}{2}$(m$\angle$MON)
m$\angle$MOQ=$\frac{1}{2}$(68)
m$\angle$MOQ=34$^{\circ}$
