Point o is the incenter of δabc. what is mqbo? mqbo is degrees.

Ok, so you already know that mQBO = 3x-15°
You just need to find x. 

You use mSAO and mQAO to solve for x. You can also see that triangle AOS and triangle AQO are similar. Solve these two equations for x and mAOQ:

90+(2x+6)+mAOQ = 180
90+(4x-12)+mAOS = 180

x=9 and mAOQ=mAOS=66°

Now you can find mQBO, by simple algebra: 
3x-15=3*9-15=12

So, mQBO is12 degrees.

Skew lines(segments) are lines(segments) in 3 dimensions that do not intersect the given segment and are not parallel to it.  ae, bf, eg, and fh are your skew segments.  i hope that : )