Respuesta :

rabinshrestha41
As you can see in the picture, m∠ABD = m∠DBC
So,

[tex]m \angle ABD = m\angle DBC\\\\6x+4=8x-4\\\\4+4=8x-6x\\\\8=2x\\\\ \frac{8}{2}=x\\\\4=x\\\\ \therefore\boxed{x=4} [/tex] 
Ver imagen rabinshrestha41

Answer:

x=4

Step-by-step explanation:

BD is the line that bisects m∠ABC

When a line bisects and angle it form two angles and they are equal.

m∠ABD = m∠DBC

Plug in the measures of angles and solve for x

[tex]6x+4= 8x-4[/tex]

Subtract 6x from both sides

[tex]4=2x-4[/tex]

Add 4 on both sides

[tex]8=2x[/tex]

Divide both sides by 2

x= 4

The value of x=4

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