Question

which angles are vertical to each other?
∠8 and ∠9 ∠13 and ∠15 ∠9 and ∠16 ∠2 and ∠7

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are formed when two lines intersect. They are opposite each other and are equal in measure.

Step2: Check each option

• For $\angle8$ and $\angle9$: They are not formed by the intersection of the same two lines.
• For $\angle13$ and $\angle15$: They are not formed by the intersection of the same two lines.
• For $\angle9$ and $\angle16$: They are formed by the intersection of two lines and are opposite each other.
• For $\angle2$ and $\angle7$: They are not formed by the intersection of the same two lines.

Answer:

$\angle9$ and $\angle16$