Question

select the angle pair which are alternate interior angles.

∠1 and ∠2

∠3 and ∠6

∠4 and ∠5

∠3 and ∠5

Explanation:

Step1: Recall definition of alternate interior angles

Alternate interior angles are formed when a transversal intersects two parallel lines. They are non - adjacent angles that lie between the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle1$ and $\angle2$, they are not between the two parallel - like lines (assuming a typical transversal - parallel line setup), so they are not alternate interior angles.
• For $\angle3$ and $\angle6$, they are non - adjacent, lie between the two lines intersected by the transversal and on opposite sides of the transversal. So they are alternate interior angles.
• For $\angle4$ and $\angle5$, they are same - side interior angles, not alternate interior angles.
• For $\angle3$ and $\angle5$, they are adjacent angles, not alternate interior angles.

Answer:

$\angle3$ and $\angle6$