Question

question 9 of 10 which pairs of angles in the figure below are vertical angles? check all that apply. a. ∠sob and ∠aob b. ∠boa and ∠boe c. ∠eoa and ∠dos d. ∠soe and ∠doa

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.

Step2: Analyze each option

• Option A: $\angle SOB$ and $\angle AOB$ share a common side $OB$, so they are not vertical angles.
• Option B: $\angle BOA$ and $\angle BOE$ share a common side $OB$, so they are not vertical angles.
• Option C: $\angle EOA$ and $\angle DOS$ are not formed by the intersection of the same two lines, so they are not vertical angles.
• Option D: $\angle SOE$ and $\angle DOA$ are formed by the intersection of lines $SA$ and $DE$, and they are opposite each other. So they are vertical angles.

Answer:

D. $\angle SOE$ and $\angle DOA$