Respuesta :

[tex]\begin{gathered} \text{mAB}=\measuredangle BOA \\ \end{gathered}[/tex]

This is by definition of mAB.

Now, since angle BOA and angle DOC are vertical angles that means they have the same value,

[tex]\begin{gathered} \measuredangle BOA=\measuredangle DOC \\ \Rightarrow \\ \text{mAB}=\measuredangle DOC \end{gathered}[/tex]

FInally by definition of mCD

[tex]\text{mCD}=\measuredangle DOC[/tex]

this implies that

[tex]\text{mAB}=\text{mCD}=50^{\circ}[/tex]

Answer 50 degrees

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