Question

BD is the angle bisector of ABC, Solve for x. m/_ABD = (5x), m_DBBC = (3x + 10)

Answer 1

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

`\begin{gathered} m\angle ABD=m\angle DBC \\ 5x=3x+10 \end{gathered}`

We solve for x

`\begin{gathered} 5x-3x=10 \\ 2x=10 \\ x=(10)/(2) \\ x=5 \end{gathered}`

Therefore, x is equal to 5.