Question

which angles are vertical to each other? ∠15 and ∠5 ∠3 and ∠16 ∠9 and ∠13 ∠4 and ∠2

Explanation:

Step1: Recall vertical - angles definition

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

Step2: Analyze each option

• For ∠15 and ∠5, they are not formed by the intersection of the same two lines.
• For ∠3 and ∠16, they are not formed by the intersection of the same two lines.
• For ∠9 and ∠13, they are vertical angles as they are formed by the intersection of two lines and are non - adjacent and opposite each other.
• For ∠4 and ∠2, they are adjacent angles, not vertical angles.

Answer:

∠9 and ∠13