BD bisects /ABC. Find the value of x.

Answer:
[tex]x=8[/tex]
Step-by-step explanation:
we know that
If BD bisects angle ABC
then
m∠ABD=m∠DBC
substitute the given values
[tex](2x+7)\°=(4x-9)\°[/tex]
Solve for x
[tex]4x-2x=7+9[/tex]
[tex]2x=16[/tex]
[tex]x=8[/tex]