Question

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$$\begin{aligned} &\\bigcirc \\quad \\angle aob \\\\ &\\bigcirc \\quad \\angle aoe \\\\ &\\bigcirc \\quad \\angle boc \\\\ &\\bigcirc \\quad \\angle aoc \\end{aligned}$$

Explanation:

Identify intersecting lines and vertical angles

The lines \(AD\) and \(CE\) intersect at point \(O\).
The angle vertical to \(\angle EOD\) is \(\angle AOC\).

Verify the vertical angle pair

$$ \angle EOD \text{ and } \angle AOC \text{ are vertical angles formed by the intersection of line } AD \text{ and line } CE. $$

$$ \angle EOD = \angle AOC $$

Answer:

• \(\angle AOB\)
• \(\angle AOE\)
• \(\angle BOC\)
• \(\angle AOC\) (Correct answer)