Question

for the diagram shown, which angles are alternate interior angles?
○ ∠3 and ∠6
○ ∠8 and ∠2
○ ∠4 and ∠7
○ ∠3 and ∠5

Explanation:

Step1: Recall alternate interior angles definition

Alternate interior angles are non - adjacent angles that lie between two lines and on opposite sides of a transversal.

Step2: Analyze each option

• For $\angle3$ and $\angle6$:

They lie between the two lines and on opposite sides of the transversal.

• For $\angle8$ and $\angle2$: These are not alternate interior angles (they are not in the correct position between the two lines).
• For $\angle4$ and $\angle7$: These are not alternate interior angles (they are not in the correct position between the two lines).
• For $\angle3$ and $\angle5$: These are same - side interior angles, not alternate interior angles.

Answer:

$\angle3$ and $\angle6$