Question

Chords and intersect in circle O as shown in the diagram. Two of the angle measurements are marked. What is mCED?

Answer 1

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=$65$°

Answer 2

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.