Question

∠2≅∠4
∠4≅∠8
∠6 + ∠7 = 180°
∠3 + ∠4 = 180°

Explanation:

Step1: Recall angle - pair relationships

Vertical angles are equal, linear - pair angles sum to 180°, and corresponding angles are equal if lines are parallel.

Step2: Analyze each option

∠2 and ∠4 are vertical angles and equal. ∠4 and ∠8 are corresponding angles (if lines are parallel). ∠6 and ∠7 are vertical angles and equal, not supplementary. ∠3 and ∠4 are a linear - pair and sum to 180°.

Answer:

A. ∠2≅∠4, D. ∠3 + ∠4 = 180°