Based on the given information, we can draw a representation of this problem.
Remember that an angle bisector divides the angle into two equal angles. That means we can express the following
[tex]\begin{gathered} m\angle ABD=m\angle DBC \\ 5x=3x+10 \end{gathered}[/tex]We solve for x
[tex]\begin{gathered} 5x-3x=10 \\ 2x=10 \\ x=\frac{10}{2} \\ x=5 \end{gathered}[/tex]
