Question

which of the following pairs of angles are consecutive interior angles? ∠2 and ∠3, ∠1 and ∠4, ∠8 and ∠7, ∠2 and ∠6

Explanation:

Step1: Recall definition of consecutive - interior angles

Consecutive - interior angles are two angles that lie between two lines and on the same side of a transversal.

Step2: Analyze each option

• For ∠2 and ∠3: They are adjacent angles formed by the intersection of two lines, not consecutive - interior angles.
• For ∠1 and ∠4: They are not in the correct position relative to the lines and the transversal to be consecutive - interior angles.
• For ∠8 and ∠7: They are vertical angles, not consecutive - interior angles.
• For ∠2 and ∠6: They lie between the two lines and on the same side of the transversal, so they are consecutive - interior angles.

Answer:

∠2 and ∠6