Answer:
r=-3 FALSE
m<XYQ=7 TRUE
r=4 TRUE
Ray YQ bisects angle XYZ TRUE
Explanation:
2r-1+3r-5=3r+2
5r-6=3r+2
2r=8
r=4
------------------------
r=-3 FALSE
m<XYQ=7 TRUE (XYQ=2r-1=2(4)-1=8-1=7)
r=4 TRUE
Ray YQ bisects angle XYZ TRUE (ZYQ=3r-5=3(4)-5=12-5=7. Both XYQ and ZYQ=7, so ray YQ is the bisector)
I don't know what the 10 is for in your question.