Respuesta :

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]