Question

the figure below shows lines that intersect at point o. which pair of angles are vertical angles? a. <cod and <boe b. <coe and <eod c. <eob and <aop d. <aoc and <coe

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are pairs of opposite angles formed by the intersection of two lines.

Step2: Analyze each option

• Option A: $\angle COD$ and $\angle BOE$ are opposite angles formed by the intersection of lines $CB$ and $ED$ at point $O$. So they are vertical angles.
• Option B: $\angle COE$ and $\angle EOD$ are adjacent angles (they share a common side $OE$), not vertical angles.
• Option C: $\angle EOB$ and $\angle AOP$ are not formed by the intersection of the same two lines.
• Option D: $\angle AOC$ and $\angle COE$ are adjacent angles (they share a common side $OC$), not vertical angles.

Answer:

A. $\angle COD$ and $\angle BOE$