Question

which pair of angles are vertical angles?
∠1 and ∠7 ∠3 and ∠6
∠5 and ∠8 ∠2 and ∠4
vertical angles are opposite angles formed when two lines intersect.

Explanation:

Step1: Recall vertical angles definition

Vertical angles are opposite angles formed when two lines intersect.

Step2: Check each pair

• For \( \angle1 \) and \( \angle7 \): Not formed by the intersection of the same two lines.
• For \( \angle3 \) and \( \angle6 \): Not formed by the intersection of the same two lines.
• For \( \angle5 \) and \( \angle8 \): These are opposite angles formed by the intersection of two lines.
• For \( \angle2 \) and \( \angle4 \): These are adjacent angles (they form a linear - pair, \( \angle2+\angle4 = 180^{\circ}\) as they are supplementary, not vertical).

Answer:

\(\angle5\) and \(\angle8\)