Question

part a (a) which pair of angles are alternate interior angles? a ∠1 and ∠5 b ∠2 and ∠7 c ∠4 and ∠5 d ∠3 and ∠8

Explanation:

Step1: Recall alternate - interior angles definition

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

Step2: Analyze each option

• Option A: ∠1 and ∠5 are corresponding angles.
• Option B: ∠2 and ∠7 are alternate - exterior angles.
• Option C: ∠4 and ∠5 are alternate - interior angles. They are between lines AB and CD and on opposite sides of transversal EF.
• Option D: ∠3 and ∠8 are non - related in these special angle types.

Answer:

C. ∠4 and ∠5