Respuesta :

Step 1

Given;

Step 2

We know that the measure of the interior angle is the half sum of the arcs comprising it and its opposite

so

[tex]m\angle CED=\frac{1}{2}(arc\text{ AB + arc CD\rparen}[/tex][tex]\begin{gathered} arc\text{ AB=82} \\ arc\text{ CD=48} \\ m\angle CED=\frac{1}{2}(82+48) \end{gathered}[/tex]

Answer;

[tex]m\angle CED=65^o[/tex]

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