Verified Answer :

rabinshrestha41

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

\(m \angle ABD = m\angle DBC\\\\6x+4=8x-4\\\\4+4=8x-6x\\\\8=2x\\\\ \frac{8}{2}=x\\\\4=x\\\\ \therefore\boxed{x=4}\) 

View image 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

\(6x+4= 8x-4\)

Subtract 6x from both sides

\(4=2x-4\)

Add 4 on both sides

\(8=2x\)

Divide both sides by 2

x= 4

The value of x=4

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