Question

m/_ABD = ( 2x - 4), m/_DBC = (x + 2)

Answer 1

Let's draw a diagram to represent the given problem.

Assuming that BD is an angle bisector, we can say

$m\angle ABD=m\angle DBC$

Replacing the expressions for each angle, we have

$2x-4=x+2$

Now, we solve for x

$\begin{gathered} 2x-x=2+4 \\ x=6 \end{gathered}$

We use this value to find each angle.

$m\angle ABD=2x-4=2(6)-4=12-4=8$$m\angle DBC=x+2=6+2=8$

Therefore, each angle measures 8°.