Question

which angle pair represents alternate interior angles? a) 3 & 5 c) 4 & 5 b) 3 & 4 d) 4 & 6

Explanation:

Step1: Recall alternate - interior angles definition

Alternate - interior angles are between two parallel lines and on opposite sides of a transversal.

Step2: Analyze each option

• Option A: ∠3 and ∠5 are not alternate - interior angles.
• Option B: ∠3 and ∠4 are adjacent angles, not alternate - interior angles.
• Option C: ∠4 and ∠5 are alternate - interior angles as they are between the two parallel lines and on opposite sides of the transversal.
• Option D: ∠4 and ∠6 are consecutive interior angles, not alternate - interior angles.

Answer:

C. 4 & 5