AryianaQ545690 AryianaQ545690

03-11-2022
Mathematics

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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 work class=

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AerialS56066 AerialS56066

03-11-2022

Since AB is the angle bisector:

[tex]\begin{gathered} m\angle CAB=m\angle DAB \\ so\colon \\ 33=4x+1 \end{gathered}[/tex]

Solve for x:

[tex]\begin{gathered} 4x=33-1 \\ 4x=32 \\ x=\frac{32}{4} \\ x=8 \end{gathered}[/tex]

Answer:

x = 8

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