Question

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

Answer 1

do you can drawing it please ?

Answer 2

this HGEF wan being a rectangle ?

Answer 3

so a quadrilateral sure - yes ?

Answer 4

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

Answer 5

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

Answer 6

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 ?

Answer 7

and you can writing again that

HGF = EGF + HGE - yes ?

Answer 8

EGF is 110..100 was a typo

Answer 9

16x+4 = 110 + 3x+11

13x =117

x=117/13

x=9

Answer 10

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