1\ 2 5 \6

Question

<----\---------\-->
3 \ 4 7 \ 8
\ \

Which angle is a vertical angle with ∠7
Responses
∠5
∠6
∠8
∠2

Answer 1

Vertical angles are formed when two lines intersect, and they are the angles that are opposite each other at the intersection.

In the diagram you've provided, the angle formed at the intersection with the angle labeled ∠7 directly across from it must be considered. Based on the provided angles:

• ∠5 is adjacent to ∠7,
• ∠6 is adjacent to ∠7,
• ∠8 is vertical to ∠7,
• ∠2 is also adjacent to ∠7.

Since ∠8 is directly opposite ∠7, the angle that is a vertical angle with ∠7 is:

∠8.