Question

In the figure below, AB is an angle bisector. What is the value of x? Show and explain work

Answer 1

Since AB is the angle bisector:

`\begin{gathered} m\angle CAB=m\angle DAB \\ so\colon \\ 33=4x+1 \end{gathered}`

Solve for x:

`\begin{gathered} 4x=33-1 \\ 4x=32 \\ x=(32)/(4) \\ x=8 \end{gathered}`

Answer:

x = 8