angle HGF=16x+4, angle EGF=100 degrees, angle HGE=3x+11. Solve for x

Question

jhonyy9 · Answer

do you can drawing it please ?

jhonyy9 · Answer

this HGEF wan being a rectangle ?

jhonyy9 · Answer

so a quadrilateral sure - yes ?

anonymous · Answer

HGF is an obtuse angle and segment GE is the bisector, sorta

anonymous · Answer

H.             /
               /
             /
           /
G.       ---------------- E. 
          \
            \ 
              \
                \ 
                  F.

jhonyy9 · Answer

so you know that angle HGF = 16x+4
angle EGF = 100 degree
angle HGE = 3x+11
and what you know again that GE is bisector so from what result that angle HGE congruent angle FGE - yes ?

jhonyy9 · Answer

and you can writing again that 

HGF = EGF + HGE - yes ?

anonymous · Answer

EGF is 110..100 was a typo

jhonyy9 · Answer

16x+4 = 110 + 3x+11

13x =117

x=117/13

x=9

jhonyy9 · Answer

do you understand it now why and how you get this result ?