Question

select the angle pair which are vertical angles.
○ ∠5 and ∠7
○ ∠7 and ∠8
○ ∠5 and ∠6
○ ∠6 and ∠7

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are non - adjacent angles opposite each other.

Step2: Analyze each option

• For $\angle5$ and $\angle7$: When two lines intersect, $\angle5$ and $\angle7$ are non - adjacent and opposite each other, so they are vertical angles.
• For $\angle7$ and $\angle8$: They are adjacent angles, not vertical angles.
• For $\angle5$ and $\angle6$: They are adjacent angles, not vertical angles.
• For $\angle6$ and $\angle7$: They are adjacent angles, not vertical angles.

Answer:

$\angle5$ and $\angle7$