First find m<HGC.
m<HGC=14 degrees (through vertical angles)
So...
m<HGE=14+78=92 degrees (through adjacent angles)
Now we have two parallel line cut by a transversal. And so... <HGE and <CEG are same side interior angles which means they are supplements (sum to 180 degrees)
m<HGE+m<CEG=180
92+m<CEG=180
m<CEG=88 degrees
<CEG and <CEB make a linear pair and are thus are supplements as well.
So...
m<CEG+m<CEB=180
88+m<CEB=180
m<CEB=92 degrees
m<CEB=4x=92
x=92/4=23 degrees
answer: 23 degrees
