Question

1. which pair of angles are vertical angles?

diagram of intersecting lines forming angles 1, 2, 3, 4, 5
a. ∠1 and ∠4
b. ∠3 and ∠5
c. ∠1 and ∠3
d. ∠2 and ∠4

Explanation:

Vertical angles are formed by two intersecting lines and are opposite each other. Let's analyze each option:

• Option A: ∠1 and ∠4 are not opposite each other.
• Option B: ∠3 and ∠5 are not opposite each other.
• Option C: ∠1 and ∠3 are not opposite each other.
• Option D: ∠2 and ∠4 are formed by intersecting lines and are opposite each other, so they are vertical angles.

Answer:

D. $\angle2$ and $\angle4$