Respuesta :

Answer:

By using the formulas of circle and geometry, we find that ∠CED = 65°.

Step-by-step explanation:

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

∠CED = 0.5 × (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

∠CED = 0.5 × (82° + 48°)

∠CED = 0.5 × 130°

∠CED = 65°

Therefore the answer is ∠CED = 65°

For more explanation, refer the following link:

https://brainly.com/question/1596465

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