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

In the figure below, AB is an angle bisector. What is the value of x? Show and explain-example-1

1 Answer

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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

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