Verified Answer :

taskmasters

Most of the information's required to find mCED is already given in the diagram attached with the question. It has a very simple formula.
mCED = (48 + 82)/2
            = 130/2
            = 65
I hope that this is the answer that you were looking for and it has actually come to your great help.

calculista

we know that

The measure of the interior angle is the half sum of the arcs comprising it and its opposite

so

m∠CED=\(\frac{1}{2} *(arc\ AB+arc\ CD)\)

see the attached figure with letters to better understand the problem

\(arc\ AB=82\)° ------> by central angle

\(arc\ CD=48\)° ------> by central angle

Substitute the values in the formula above

m∠CED=\(\frac{1}{2} *(82+48)\)

m∠CED=\(\frac{1}{2} *130\)

m∠CED=\(65\)°

therefore

the answer is

m∠CED=\(65\)°


View image calculista

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