Question

identify the correct statement.
$\angle 2$ & $\angle 4$ are vertical angles
$\angle 5$ & $\angle 8$ are vertical angles
$\angle 1$ & $\angle 5$ are vertical angles
$\angle 1$ & $\angle 2$ are vertical angles

Explanation:

Step1: Recall vertical angles definition

Vertical angles are pairs of non-adjacent angles formed by two intersecting lines, opposite each other.

Step2: Analyze each option

• $\angle1$ & $\angle2$: Adjacent, form linear pair, not vertical.
• $\angle1$ & $\angle5$: Corresponding angles (parallel lines), not vertical.
• $\angle5$ & $\angle8$: Adjacent, form linear pair, not vertical.
• $\angle2$ & $\angle4$: Opposite each other at intersection of line $l$ and transversal, non-adjacent, match vertical angles definition.

Answer:

$\angle 2$ & $\angle 4$ are vertical angles